New Criteria for Convex-Exponent Product of Log-Harmonic Functions-Reference-Cited by-同舟云学术

New Criteria for Convex-Exponent Product of Log-Harmonic Functions

Published:2023-04-22 Issue:5 Volume:12 Page:409
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Aghalary Rasoul¹,Ebadian Ali¹,Cho Nak Eun²,Alizadeh Mehri³

Affiliation:

1. Department of Mathematics, Faculty of Science, Urmia University, Urmia 57561-51818, Iran

2. Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan 48513, Republic of Korea

3. Department of Mathematics, Faculty of Science, Payame Noor University, Tehran 19556-43183, Iran

Abstract

In this study, we consider different types of convex-exponent products of elements of a certain class of log-harmonic mapping and then find sufficient conditions for them to be starlike log-harmonic functions. For instance, we show that, if f is a spirallike function, then choosing a suitable value of γ, the log-harmonic mapping F(z)=f(z)|f(z)|2γ is α-spiralike of order ρ. Our results generalize earlier work in the literature.

Funder

National Research Foundation of the Republic of Korea

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/5/409/pdf

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4. A certain class of starlike log-harmonic mappings;Aydogan;J. Comput. Appl. Math.,2014

5. Some results on a starlike log-harmonic mapping of order alpha;Aydogan;J. Comput. Appl. Math.,2014

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