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20092026
most citedThe Belle II Physics Book

570 citations

Showing math.CVShow all

16 papers · 1 filter

math.CV2025★ 1 cited

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…

math.CV2025

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)…

math.CV2024★ 3 cited

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…

math.CV2024★ 1 cited

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 $\…

math.CV2024★ 6 cited

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…

math.CV2024

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…

math.CV2023★ 1 cited

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…

math.CV2023★ 12 cited

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.

math.CV2022★ 4 cited

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')…

math.CV2022

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…

math.CV2021★ 5 cited

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}:=…

math.CV2021★ 7 cited

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…

math.CV2020★ 28 cited

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+\…

math.CV2020★ 1 cited

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…

math.CV2020★ 5 cited

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…

math.CV2020

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'(…