S. R. Mondal

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20152025

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math.CV2025

On Lemniscate starlikeness of analytic functions and its application to special functions

Saiful R Mondal, Ahmad K. Al Abdulaali

This paper investigates the lemniscate starlikeness of analytic functions by deriving specific conditions on their power series coefficients. The study utilizes the Cauchy product…

math.CV2017

Starlikeness of the generalized Bessel function

Rosihan M. Ali, See Keong Lee, Saiful R. Mondal

For a fixed $a \in {1, 2, 3, \dots},$ the radius of starlikeness of positive order is obtained for each of the normalized analytic functions \begin{align*} \mathtt{f}_{a, ν}(z)&…

math.CV2016

Relations between the generalized Bessel functions and the Janowski class

S. Kanas, S. R. Mondal, A. D. Mohammed

We are interested in finding the sufficient conditions on $A$ , $B$ , $λ$ , $b$ and $c$ which ensure that the generalized Bessel functions $u_{λ} := u_{λ, b, c}$ satisfies the subordina…

math.CV2015

Inclusion of generalized Bessel functions in the Janowski class

Saiful R. Mondal, Al Dhuain Mohammed

Sufficient conditions on $A$ , $B$ , $p$ , $b$ and $c$ are determined that will ensure the generalized Bessel functions $u_{p, b, c}$ satisfies the subordination ${u}_{p,b,c}(z) \prec…