Properties of a Class of Analytic Functions Associated With Exponentially Convex Functions

Document Type

Article

Source of Publication

Journal of Mechanics of Continua and Mathematical Sciences

Publication Date

8-1-2025

Abstract

Studies in univalent function theory comprising the exponential of differential characterizations are rarely considered. The prominent study in this direction is the study of so-called α-exponentially convex functions. Here we study a class of analytic functions which satisfy an analytic characterization influenced by the definition of the multiplicative derivative and α-exponentially convex functions. Integral representation and coefficient inequalities of the defined function class are the main results of the paper.

ISSN

0973-8975

Publisher

Journal of Mechanics of Continua and Mathematical Sciences

Volume

20

Issue

8

First Page

1

Last Page

10

Disciplines

Mathematics

Keywords

Analytic function, exponentially convex functions, multiplicative derivative, starlike functions

Scopus ID

105014361955

Creative Commons License

Creative Commons Attribution-Share Alike 4.0 International License
This work is licensed under a Creative Commons Attribution-Share Alike 4.0 International License.

Indexed in Scopus

yes

Open Access

yes

Open Access Type

Gold: This publication is openly available in an open access journal/series

This document is currently not available here.

Share

COinS