Starlikeness and convexity of the product of certain multivalent functions with higher-order derivatives-Reference-Cited by-同舟云学术

Starlikeness and convexity of the product of certain multivalent functions with higher-order derivatives

Published:2021-04-01 Issue:2 Volume:71 Page:331-340
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Aouf Mohamed K.¹,Lashin Abdel Moneim¹²,Bulboacă Teodor³

Affiliation:

1. Department of Mathematics Faculty of Science , Mansoura University , Mansoura , 35516 , Egypt

2. Department of Mathematics Faculty of Science , King Abdulaziz University , Jeddah , Kingdom of Saudi Arabia

3. Faculty of Mathematics and Computer Science , Babeş-Bolyai University , 400084 , Cluj-Napoca , Romania

Abstract

Abstract In this paper we introduce some new subclasses of the p-valent analytic functions with higher-order derivatives that generalize some related subclasses of starlike and convex functions of a positive order. We found the order of (p,q)-valent starlikeness and convexity for the products of functions that belong to these classes. The order of (p,q)-valent starlikeness and convexity of certain integral operators for the product of functions of these classes were also obtained.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0471/pdf

Reference30 articles.

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