D. Prabhakaran

activity

20192023

most citedGeometric properties of Clausen's Hypergeometric Function

_{3} F_{2} (a, b, c; d, e; z)

1 citations · 1 across the 7 of their papers we have counts for

collaborators

Showing math.CVShow all

4 papers · 1 filter

math.CV2023

Univalent Functions involving Generalized Hypergeometric Series

K. Chandrasekran, D. J. Prabhakaran

The main objective of the present article is to make interconnection between the Generalized Hyergeometric series and some subclasses of normalized analytic functions with positive…

math.CV2023

Univalent Functions with Non-Negative Coefficients involving Clausen's Hypergeometric Function

K. Chandrasekran, G. Murugusundaramoorthy, D. J. Prabhakaran

In this work, we derived the necessary and sufficient conditions on parameters for $_{3} F_{2} (_{b + 1, c + 1}^{a, b, c}; z)$ Hypergeometric Function to be in the classes $\mathcal{M}^{\ast}(λ,…

math.CV2019★ 1 cited

Geometric properties of Clausen's Hypergeometric Function $_{3} F_{2} (a, b, c; d, e; z)$

Koneri Chandrasekran, Devasir John Prabhakaran

The Clausen's Hypergeometric Function is given by $_{3} F_{2} (a, b, c; d, e; z) = n = 0 \sum \infty \frac{( a ) _{n} ( b ) _{n} ( c ) _{n}}{( d ) _{n} ( e ) _{n} ( 1 ) _{n}} z^{n}; a, b, c, d, e \in C$ provided $d,…

math.CV2019

Stable Functions of Janowski Type

Koneri Chandrasekran, Devasir John Prabhakaran, Priyanka Sangal

A function $f \in A_{1}$ is said to be stable with respect to $g \in A_{1}$ if \begin{align*} \frac{s_n(f(z))}{f(z)} \prec \frac{1}{g(z)}, \qquad z\in\mathbb{D}, \en…

Univalent Functions involving Generalized Hypergeometric Series

Univalent Functions with Non-Negative Coefficients involving Clausen's Hypergeometric Function

Geometric properties of Clausen's Hypergeometric Function 3​F2​(a,b,c;d,e;z)

Stable Functions of Janowski Type

Geometric properties of Clausen's Hypergeometric Function $_{3} F_{2} (a, b, c; d, e; z)$