Prof. Vasudeva Rao Allu

Professional Summary

Visiting Assistant Professor at the Department of Applied Sciences, Yamaguchi University,  Ube, Japan during December 11–25, 2011.

Post-Doctoral Fellow at Technion-Israel Institute of Technology, Haifa, Israel  from September 04, 2010 to January 31, 2011.

Visiting Research Scholar at the Department of mathematics, University of Turku, Finland   from August 03, 2009 to September 30, 2009.

Visited ‘‘1 December 1918’’University of Alba Iulia, Romania for presenting the paper entitled “Regions of variability for certain subclasses of univalent functions” at International conference on Complex Analysis and Related Topics, 11th Romannian-Finnish Seminar from August 14–19, 2008.

Visiting Research Scholar at the Department of mathematics, University of Turku, Finland from November 01, 2007 to February 28, 2008.

Publications

1Molla Basir Ahamed and Vasudevarao Allu, Dynamical behavior of meromorphic solutions for certain complex difference equations, Contemporary Mathematics (American Mathematical Society) (2024) (Accepted for publication)
2Vasudevarao Allu and Abhishek Pandey, Neargeodesics in Gromov hyperbolic John domains in Banach spaces, Annales Fennici Mathematici (2024)(Accepted for publication)
3Vasudevarao Allu, Himadri Halder and Subhadip Pal, Arithmetic Bohr radius for the Minkowski space, Forum Mathematicum (2024) Accepted for publication
4Vasudevarao Allu and Himadri Halder, Bohr phenomenon for harmonic Bloch functions, Analysis Mathematica (Accepted for publication) (2024)
5Vasudevarao Allu and Abhishek Pandey, On the Generalized Zalcman Conjecture,
Annali di Matematica Pura ed Applicata (1923 -) (2024). https://doi.org/10.1007/s10231-024-01461-z
6Vasudevarao Allu and Amal Shaji, The second Hankel determinant for logarithmic inverse coefficients of convex and starlike functions, Bulletin of the Australian Mathematical Society (2024) (Accepted for publication)
7Molla Basir Ahamed, Vasudevarao Allu and Himadri Halder, An Asymptotic behaviour of Bohr’s Radii for Polynomials on simply connected domains, C. R. Math. Acad. Sci. Paris (2024) Accepted for publication
8Vasudevarao Allu and Rohit Kumar, Landau-Bloch type theorem for elliptic and quasiregular harmonic mappings, Journal of Mathematical Analysis and Applications (Accepted for publication) (2024)
9Vasudevarao Allu and Navneet Lal Sharma, On logarithmic coefficients for classes of analytic functions associated with convex functions, Bulletin des Sciences Mathématiques (2024)(Accepted for publication)
10Vasudevarao Allu and Himadri Halder, Landau’s theorem for harmonic Bloch functions on simply connected domains, Complex Variables and Elliptic Equations (2023) Accepted for publication
11Vasudevarao Allu and Himadri Halder, Bohr radius for Banach spaces on simply connected domains, Proceedings of the Edinburgh Mathematical Society (Accepted for publication) (2023) DOI: https://doi.org/10.1017/S0013091523000688
12Molla Basir Ahamed and Vasudevarao Allu, Improved Bohr inequalities for certain classes of harmonic mappings, Journal of Ramanujan Mathematical Society (Accepted for publication) (2023)
13Molla Basir Ahamed and Vasudeva Rao Allu, Transcendental solutions of Fermat-type functional equations in $ mathbb{C}^n $, Analysis and Mathematical Physics 13(2023), no.5, Paper No. 69, 17 pp.
14Vasudevarao Allu and Himadri Halder, Bohr operator on operator valued polyanalytic functions on simply connected domains, Canadian Mathematical Bulletin (2023) (Accepted for publication)
15Molla Basir Ahamed and Vasudevarao Allu, Harmonic analogue of Bohr phenomenon of certain classes of univalent and analytic functions, Mathematica Scandinavica (Accepted for publication) (2023)
16Vasudevarao Allu and Nirupam Ghosh, Bohr type inequality for Cesaro and Bernardi integral operator on simply connected domain, Proc. Indian Acad. Sci. 133(2023), no.2, Paper No. 22, 10 pp.
17Vasudevarao Allu and Vibhuti Arora, Second Hankel determinant of logarithmic coefficients of certain analytic functions, Rocky Mountain Journal of Mathematics (Accepted for publication) (2023)
18 Vasudeavarao Allu, Vibhuti Arora and Amal Shaji, On the Second Hankel determinant of Logarithmic Coefficients for certain univalent functions, Mediterranean Journal of Mathematics 20 (2023), no. 2, Paper No. 81, 10 pp
19Molla Basir Ahamed, Vasudevarao Allu and Himadri Halder, Improved Bohr inequalities for certain class of harmonic univalent functions, Complex Variables and Elliptic Equations 68(2023), 267–290.
20Molla Basir Ahamed and Vasudevarao Allu, Bohr-Rogosinski radius for a certain class of close-to-convex harmonic mappings, Canadian Mathematical Bulletin (2023) (To appear),doi: https://doi.org/10.4153/S0008439523000115
21Vasudevarao Allu, Himadri Halder and Subhadip Pal, Bohr and Rogosinski inequalities for operator valued holomorphic functions, Bulletin des Sciences Math 182 (2023) 103214.
22Vasudevarao Allu and Vibhuti Arora, Bohr-Rogosinski type inequalities for concave univalent functions, Journal of Mathematical Analysis and Applications 520 (2023) no.1, Paper No. 126845, 14 pp.
23Daoud Bshouty, Abdallah Lyzzaik, Antti Rasila and Allu Vasudevarao, Moduli of doubly connected domains under univalent harmonic maps, The Journal of Geometric Analysis, (2022) 32:152 , DOI: 10.1007/s12220-022-00895-2
24Vasudevarao Allu and Himadri Halder, Operator valued analogues of multidimensional Bohr’s inequality, Canadian Mathematical Bulletin 65 (2022), DOI: https://doi.org/10.4153/S0008439521001077
25Vasudevarao Allu and Himadri Halder, The Bohr inequality for certain harmonic mappings, Indagationes Mathematicae 33 (2022), 581–597.
26Vasudevarao Allu and Himadri Halder, Bohr phenomenon for certain close-to-convex analytic functions, Computational Methods and Function Theory 22 (2022), 491–517.
27Molla Basir Ahamed and Vasudevarao Allu, Bohr phenomenon for certain classes of harmonic mappings, Rocky Mountain Journal of Mathematics 52(2022), 1205-1225.
28Md Firoz Ali, Vasudevarao Allu, Hiroshi Yanagihara, An application of Schur algorithm to variability regions of certain analytic functions-II, Bulletin of the Australian Mathematical Society 105 (2022), 468 — 481.
29Vasudevarao Allu, Adam Lecko and Derek Keith Thomas, Hankel, Toeplitz and Hermitian-Toeplitz determinants for certain Close-to-convex Functions, Mediterranean Journal of Mathematics 19 (2022), no. 1, Paper No. 22, 17, https://doi.org/10.1007/s00009-021-01934-y
30Molla Basir Ahamed and Vasudevarao Allu, Bohr-Rogosinski inequalities for certain fully starlike harmonic mappings, Bulletin of the Malaysian Mathematical Sciences Society 45 (2022), 1913–1927.
31Md. Firoz Ali, A. Vasudevarao and H. Yanagihara, An application of Schur algorithm to variability regions of certain analytic functions-I. Computational Methods and Function Theory 22 (2022), 35–54.
32Vasudevarao Allu and Himadri Halder, The Bohr phenomenon for certain Subclasses of Harmonic Mappings, Bulletin des Sciences Mathématiques 173 (2021), Paper No. 103053, 18 pp., https://doi.org/10.1016/j.bulsci.2021.103053
33Molla Basir Ahamed, Vasudevarao Allu and Himadri Halder, The Bohr Phenomenon for analytic functions on simply connected domains, Annales Fennici Mathematici 47(2021), 103–120.
34Molla Basir Ahamed, Vasudevarao Allu, and Himadri Halder, Bohr radius for certain classes of close-to-convex harmonic mappings, Analysis and Mathematical Physics 11 (2021), no. 3, Paper No. 111, 30 pp. doi:10.1007/s13324-021-00551-y
35Vasudevarao Allu and Abhishek Pandey, Support points of some classes of analytic and univalent functions, C. R. Math. Acad. Sci. Paris 359 (2021), 465–473.
36Vasudevarao Allu and Himadri Halder, Bohr radius for certain starlike and convex univalent functions, Journal of Mathematical Analysis and Applications 493(2021), 124519.
37Vasudevarao Allu and Abhishek Pandey, Zalcman Conjecture for certain analytic and univalent functions, Journal of Mathematical Analysis and Applications 492(2020), 124466.
38 Md. Firoz Ali, Vasudevarao Allu and Nirupam Ghosh, A convolution property of univalent harmonic right half mappings, Monatshefte für Mathematik 193(2020),729-736.
39Md. Firoz Ali, A. Vasudevarao and H. Yanagihara, On a class of univalent functions defined by a differential inequality, Journal of Ramanujan Mathematical Society 35 (2020), 217-226.
40Vasudevarao Allu, Janusz Sokol and Derek K Thomas, On a close-to-convex analogue of certain starlike functions, Bulletin of the Australian Mathematical Society 102(2020), 268-281.
41Nirupam Ghosh and Vasuevarao Allu, On some subclass of harmonic mappings, Bulletin of the Australian Mathematical Society 101(2020), 130–140.
42Md Firoz Ali and Vasudevarao Allu, Coefficient estimates and integral mean estimates for certain classes of analytic functions, C. R. Math. Acad. Sci. Paris 357 (2019), 436-442.
43Nirupam Ghosh and A. Vasudevarao, The radii of fully starlikeness and fully convexity of a harmonic operator, Monatshefte für Mathematik 188 (2019) 653–666.
44Nirupam Ghosh and A. Vasudevarao, On some subclass of harmonic close-to-convex mappings, Monatshefte für Mathematik 188(2019), 247–267.
45Vasudevarao Allu, Derek K. Thomas and Nikola Tuneski, On Ozaki close-to-convex functions, Bulletin of the Australian Mathematical Society 99(2019), 89–100.
46Samiran Chakraborty and Allu Vasudevarao, On Stable Functions, Computational Methods and Function Theory 18(2018), 677–688.
47Derek K. Thomas, Nikola Tuneski and Allu Vasudevarao, Univalent Functions: A Primer, De Gruyter Studies in Mathematics, 69, De Gruyter, Berlin, Boston, 2018, xiii+252 pp, ISBN 978-3-11-056096-1
48Md Firoz Ali and A. Vasudevarao, On Certain Families of Analytic Functions in the Hornich Space, Computational Methods and Function Theory 18(2018), 643–659.
49Nirupam Ghosh and A. Vasudevarao, Some basic properties of certain subclass of harmonic univalent functions, Complex Variables and Elliptic Equations 63 (2018), 1687–1703.
50U. Pranav Kumar and A. Vasudevarao, Logarithmic coefficients for certain subclasses of close-to-convex functions, Monatshefte für Mathematik 187(2018), 545–563.
51Md Firoz Ali, D. K. Thomas, and A. Vasudevarao, Toeplitz determinants whose elements are the coefficients of analytic and univalent functions, Bulletin of the Australian Mathematical Society 97(2)(2018), 253–264.
52Md Firoz Ali and A. Vasudevarao, On logarithmic coefficients of some close-to-convex functions, Proceedings of the American Mathematical Society 146(3)(2018), 1131–1142.
53Md Firoz Ali and A. Vasudevarao, Logarithmic coefficients of some close-to-convex functions, Bulletin of the Australian Mathematical Society 95 (2017), 228–237.
54Md Firoz Ali and A. Vasudevarao, On Coefficient Estimates of Negative Powers and Inverse Coefficients for Certain Starlike Functions, Proceedings of the Indian Academy Of Science (Math. Sci.) 127(3)(2017), 449–462.
55Nirupam Ghosh and A. Vasudevarao, Coefficient estimates for certain subclass of analytic functions defined by subordination, Filomat 31(11) (2017), 3307-3318.
56A. Vasudevarao, Fekete–Szegö inequality for certain spiral-like functions, C. R. Math. Acad. Sci. Paris 354 (2016), 1065–1070,
57M. Okada, S. Ponnusamy, A. Vasudevarao and H. Yanagihara Circular symmetrization, subordination and arclength problems on convex functions, Mathematische Nachrichten 289 (2016), 1044–1051
58Md Firoz Ali and A. Vasudevarao, Coefficient inequalities and Yamashitas conjecture for some classes of analytic functions, Journal of the Australian Mathematical Society 100(1) (2016), 1-20.
59A.Vasudevarao, Fekete-Szegö problem for certain subclasses of univalent functions, Bulletin of the Korean Mathematical Society 52 (6)(2015), 1937–1943
60Md Firoz Ali and A. Vasudevarao, Integral Means and Dirichlet integral for certain class of analytic function, Journal of the Australian Mathematical Society 99(3)(2015), 315–333.
61A. Vasudevarao, An Arclength problem for some subclasses of m-fold symmetric functions, Mathematica (Cluj) 56(79)(2014), 182-192.
62A. Vasudevarao, An arclength problem for some subclasses of univalent functions, The Journal of Analysis 22 (2014), 145-149.
63A. Vasudevarao, Region of variability for some subclasses of univalent functions, Springer Proc. Math. Stat. 91 (2013), 151–170,
64A. Vasudevarao and Hiroshi Yanagihara, On the growth of analytic functions in the class ${mathcal U}(lambda )$, Computational Methods and Function Theory 13(4) (2013), 613–634.
65S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for exponentiall convex functions, Complex Analysis and Operator Theory 5(3) (2011), 955–966.
66S. Ponnusamy and A. Vasudevarao, Region of variability for functions with positive real part, Annales Polonici Mathematici 99(3)(2010), 225–245.
67S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Region of variability for close-to-convex functions-II, Applied Mathematics and Computation 215(3)(2009), 901–915.
68S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for certain classes of univalent functions satisfying differential inequalities, Complex Variables and Elliptic Equations 54(10)(2009), 899–922.
69S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for spirallike functions with respect to a boundary point, Colloquium Mathematicum 116(1)(2009), 31–46.
70S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Region of variability of univalent functions $ f(z)$ for which $ zf'(z)$ is spirallike, The Houston Journal of Mathematics 34(4) (2008), 1037–1048.
71S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Region of variability for close-to-convex functions, Complex Variables and Elliptic Equations 53(8)(2008), 709 — 716.
72S. Ponnusamy and A. Vasudevarao, Region of variability of two subclasses of univalent functions, The Journal of Mathematical Analysis and Applications 332 (2007), 1323–1334.
1Invited talk “Landau-Bloch type theorem for elliptic and
quasiregular harmonic mappings” at International Conference on Complex Analysis and Computational Fluid Dynamics (ICCACFD 2024)” organized by KIIT Deemed to be University, Bhubaneswar during February 16-18, 2024
2Invited talk “Bohr radius for Banach spaces on simply connected domains” at Interactions in Several Complex Variables (workshop & conference) held at IISER Pune during December 11-15, 2023
3
Prof. Bhavanari Satyanarayana, Prof. Sreedharamalle Sreenadh and Prof. Thota Srinivas Endowment lecture “ On Bohr phenomenon in Geometric Function Theory” at 32nd Annual congress of Andhra Pradesh and Telangana Society for Mathematical Sciences (APTSMS) & International Conference on Computational Modeling in Science and Engineering (ICCMSE-2023), NIT Warangal, 28–30th October 2023.
4Invited talk “On Bohr Inequality for Operator-valued Analytic Functions” at the 29th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (The 29th ICFIDCAA–2023) organized by Department of Mathematics Ramanujan School of Mathematical Sciences Pondicherry University, August 21-25, 2023.
5Invited talk “On Bohr phenomenon” at International Workshop on Geometric Function Theory (IWGFT 2023), Organized by
Department of Mathematics, IIT Madras, August 18-20, 2023
6Participated in The Current Developments in Mathematics (CDM) conference jointly hosted by Harvard University and the Massachusetts Institute of Technology (MIT) (through virtual mode), from 2022-03-18 to 2022-03-19.
7Invited talk: Bohr radius for Banach spaces on simply connected domains, Computational Methods in Function Theory (CMFT), The Federico Santa Mar­ia Technical University in Valparaiso, Chile, January 10-14, 2022.
8Plenary talk “Bohr phenomenon for harmonic Bloch functions on simply connected domains” (with Himadri Halder) at VIII International Conference of Mathematics and Computer Science “Congressio Mathematica”, University of Warmia and Mazury in Olsztyn, Poland, during September 19 to 25, 2022.
9 Invited Talk: The Bohr phenomenon for Banach Spaces at Wuerzburg Complex Analysis Seminar, University of Wuerzburg, Germany on February 4th, 2022.
10Plenary talk “The Bohr phenomenon for certain analytic and univalent functions” at the VI Conference of Mathematics and Computer Science, “Congressio Mathematica”, University of Warmia and Mazury in Olsztyn, Poland, during November 21 to 22; 28 to 29, 2020.
11Plenary talk “On the Third Logarithmic Coefficient of Close-to-convex Functions” (with Md Firoz Ali and D.K. Thomas) at V International Conference of Mathematics and Computer Science “Congressio Mathematica”, University of Warmia and Mazury in Olsztyn, Poland, during September 23 to 25, 2018.
12Short Communication at Certain subclasses of harmonic univalent mappings (with Nirupam Ghosh) in Short Communication at International Congress of Mathematicians (ICM 2018), Rio de Janeiro (Brazil) during August 1 to 9, 2018.
13Invited talk “On the Growth of Some Subclasses of the Class of Univalent Functions” at International Symposium in Geometric Function Theory and Applications at Isik University, Turkey during August 26-September 4, 2013.
14Invited talks “On region of variabilities for family of analytic functions” at the Department of Applied Sciences, Yamaguchi University, Ube, Japan during December 19 to 23, 2011.
15Short Communication “Region of variability for spirallike functions with respect to a boundary point” at International Congress of Mathematicians (ICM 2010) at Hyderabad, August 19 to 27, 2010.
16Invited talk “Region of variability for functions with positive real part” at ICM 2010-Satellite Conference: International Workshop on Harmonic and Quasiconformal Mappings (HQM2010) at IIT Madras, August 09-17, 2010.
17Invited talk “Region of variability for functions with positive real part” in Helsinki Analysis seminar at Department of Mathematics and Statistics, University of Helsinki, Finland on September 28, 2009.
18Invited talk “Region of variability and Fekete Szego problem for exponentially convex univalent functions” in Helsinki Analysis seminar at Department of Mathematics and Statistics, University of Helsinki, Finland on September 14, 2009.
19Invited talk “Region of variability for exponentially convex univalent functions” at International conference on Complex Analysis and Related Topics, 12th Romannian-Finnish Seminar at University Turku, Finland, August 17-21, 2009.
20Invited talk “Region of variability for exponentially convex univalent functions” in Turku Analysis seminar at Department of Mathematics, University of Turku, Finland on August 07, 2009.
21Invited talk “Certain classes of univalent functions and radius problems” in Turku Analysis Seminar at Department of Mathematics, University of Turku, Finland on January 30, 2008.
22Invited talk “Region of variability for certain classes of univalent functions satisfying differential inequalities” at Finnish Mathematical Days 2008 at Helsinki University of Technology, Helsinki, Finland, January 3-4, 2008.
1Invited talk “An infinite product representation of meromorphic functions” at a two day Workshop on “Complex Analysis and its Applications -2024” organised by Gati Shakti Vishwavidyalaya Vadodara
(A Central University sponsored by the Ministry of Railways, Govt. of India), during from February 23-24, 2024
2Invite talk “Bohr radius for certain classes of analytic and harmonic mappings” at IIT Tirupathi on 18-11-2022.
3Invited lectures at “Annual Foundation School- I (AFS-I) at the Department of Mathematics, National Institute of Technology Durgapur, during December 12, 2022 to January 7, 2023.
4Invited talk “Bohr and Rogosinski inequalities for operator valued holomorphic functions” in the Symposium Complex Analysis of 37th Annual Conference of Ramanujan Mathematical Society during 06 – 08, December 2022.
5Invited Talk: On logarithmic coefficients problem for univalent functions, One Day International Symposium on Mathematical Analysis on the occasion of National Mathematics Day (134th Birth Anniversary of Srinivasa Ramanujan) Amity University, Haryana 22-12-2022.
6Participated 36th Annual Conference of Ramanujan Mathematical Society from 2021-08-04 to 2021-08-07 (Attend through Virtual conference mode)
7Invited talk: Bohr radius for certain classes of analytic and harmonic mappings, Faculty Development Program(FDP) on Mathematical Approaches in Science and Engineering?, Koneru Lakshmaiah Education Foundation (deemed to be University), 11-02-2021
8Participated 35th Annual Conference of Ramanujan Mathematical Society from 2020-12-28 to 2020-12-30 (Attend through Virtual conference mode)
9Participated 35th Ramanujan Mathematical Society (RMS) Pre-Conference Symposium on Complex Analysis organised by Central University, Rajasthan from 2020-12-27 to 2020-12-27 (Attend through Virtual conference mode)
10Invited talk: On logarithmic coefficients of some close-to-convex functions at International Webinar on Recent Trends in Geometric Function Theory & Applications (RTGFTA-2020), September 18-21, 2020 KIIT Deemed to be University, Bhubaneswar.
11Talk “Region of variability for certain subclasses of univalent functions” (Awarded for the Best Paper Presentation Award) at , 22nd Annual conference of Ramanujan Mathematical Society at the Department of Mathematical and Computational Sciences, National Institute of Technology Surathkal, India during June 6-8, 2007.