A. Pandey

most citedZalcman Conjecture for certain analytic and univalent functions

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math.CV2022

Proof of The Generalized Zalcman Conjecture for Initial Coefficients of Univalent Functions

Vasudevarao Allu, Abhishek Pandey

Let $S$ denote the class of analytic and univalent ({\it i.e.}, one-to-one) functions $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n}$ in the unit disk $\mathbb{D}=\{z\in \mathbb{C}:…

math.CV2022

Support points of some classes of analytic and univalent functions

Vasudevarao Allu, Abhishek Pandey

Let $A$ denote the class of analytic functions in the unit disk $D := {z \in C : ∣ z ∣ < 1}$ satisfying $f (0) = 0$ and $f^{'} (0) = 1$ . Let $U$ be the class o…

math.CV2020★ 1 cited

Zalcman Conjecture for certain analytic and univalent functions

Vasudevarao Allu, Abhishek Pandey

Let $A$ denote the class of analytic functions in the unit disk $D$ of the form $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n}$ and $S$ denote the class of functi…