570 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Tata Institute of Fundamental ResearchIN296 papers
- Charles UniversityCZ292 papers
- Hanyang UniversityKR288 papers
- Indian Institute of Technology MadrasIN288 papers
- National Taiwan UniversityTW286 papers
- Yonsei UniversityKR284 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di TorinoIT279 papers
- Sungkyunkwan UniversityKR279 papers
- Deutsches Elektronen-Synchrotron DESYDE277 papers
- Kyungpook National UniversityKR277 papers
- National Central UniversityTW273 papers
- Wayne State UniversityUS272 papers
16 papers · 1 filter
The Bohr's Phenomenon involving multiple Schwarz functions
Vasudevarao Allu, Raju Biswas, Rajib Mandal
The primary objective of this paper is to establish several sharp versions of Bohr inequalities for bounded analytic functions in the unit disk $\mathbb{D} := \{z\in\mathbb{C} : |z…
An estimation of the pre-Schwarzian norm for certain classes of analytic functions
Vasudevarao Allu, Raju Biswas, Rajib Mandal
The primary objective of this paper is to establish the sharp estimates of the pre-Schwarzian norm for functions in the class and when $φ(z)…
Bohr type inequality for certain integral operators and Fourier transform on shifted disks
Vasudevarao Allu, Raju Biswas, Rajib Mandal
In this paper, we derive the sharp Bohr type inequality for the Cesáro operator, Bernardi integral operator, and discrete Fourier transform acting on the class of bounded analytic…
Improved Bohr-type Inequalities for the Cesaro Operator
Vasudevarao Allu, Raju Biswas, Rajib Mandal
In this paper, we derive the sharp improved versions of Bohr-type inequalities for the Cesáro operator acting on the class of bounded analytic functions defined on the unit disk $\…
Moduli difference of inverse logarithmic coefficients of univalent functions
Vasudevarao Allu, Amal Shaji
Let be analytic in the unit disk and be the subclass of normalized univalent functions with , and . Let be the inverse function of , g…
A Note on Kernel Functions of Dirichlet Spaces
Sahil Gehlawat, Aakanksha Jain, Amar Deep Sarkar
For a planar domain , we consider the Dirichlet spaces with respect to a base point and the corresponding kernel functions. It is not known how these kernel functions be…
Arithmetic Bohr radius for the Minkowski space
Vasudevarao Allu, Himadri Halder, Subhadip Pal
The main aim of this paper is to study the arithmetic Bohr radius for holomophic functions defined on a Reinhardt domain in with positive real part. The present inve…
Second Hankel Determinant for Logarithmic Inverse Coefficients of Convex and Starlike Functions
Vasudevarao Allu, Amal Shaji
In this paper, we obtain the sharp bounds of the second Hankel determinant of logarithmic inverse coefficients for the starlike and convex functions.
Landau-Bloch type theorem for elliptic and -quasiregular harmonic mappings
Vasudevarao Allu, Rohit Kumar
In this paper, we establish an improved coefficient bounds for quasiregular and elliptic harmonic mappings and using these bounds we establish Landau-Bloch type theorem for $(K,K')…
Support points of some classes of analytic and univalent functions
Vasudevarao Allu, Abhishek Pandey
Let denote the class of analytic functions in the unit disk satisfying and . Let be the class o…
Bohr operator on opertor valued polyanalytic functions on simply connected domains
Vasudevarao Allu, Himadri Halder
In this article, we study the Bohr operator for the operator valued subordination class consisting of holomorphic functions subordinate to in the unit disk $\mathbb{D}:=…
Bohr radius for Banach spaces on simply connected domains
Vasudevarao Allu, Himadri Halder
Let be the space of bounded analytic functions from a proper simply connected domain containing the unit disk $\mathbb{D…
The Bohr Phenomenon for analytic functions on simply connected domains
Molla Basir Ahamed, Vasudevarao Allu, Himadri Halder
In this paper, we investigate the Bohr phenomenon for the class of analytic functions defined on the simply connected domain \begin{equation*} Ω_γ=\bigg\{z\in\mathbb{C} : \bigg|z+\…
Bohr phenomenon for certain close-to-convex analytic functions
Vasudevarao Allu, Himadri Halder
We say that a class of analytic functions of the form in the unit disk satisfies a…
The Bohr inequality for certain harmonic mappings
Vasudevarao Allu, Himadri Halder
Let be analytic and univalent ({\it i.e.,} one-to-one) in such that has positive real part, is symmetric with respect to…
The real non-attractive fixed point conjecture and beyond
Rajen Kumar, Tarakanta Nayak
Is it always true that every polynomial P with the degree at least two has a fixed point z0, the real part of whose multiplier is bigger than or equal to 1, i.e., Real part of (P'(…