Meromorphic harmonic univalent functions related with generalized (p, q)-post quantum calculus operators

Shuhai Li; Lina Ma; Huo Tang; Shuhai Li; Lina Ma; Huo Tang

doi:10.3934/math.2021015

AIMS Mathematics

2021, Volume 6, Issue 1: 223-234. doi: 10.3934/math.2021015

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Research article

Meromorphic harmonic univalent functions related with generalized (p, q)-post quantum calculus operators

School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, Inner Mongolia, China

Received: 07 June 2020 Accepted: 22 September 2020 Published: 09 October 2020
MSC : 30C45, 30C50, 30C80

In this paper, we introduce certain subclasses of meromorphic harmonic univalent functions, which are defined by using generalized (p, q)-post quantum calculus operators as well as subordination relationship. Sufficient coefficient conditions, extreme points, distortion bounds and convolution properties for functions belonging to the subclasses are obtained.
- meromorphic harmonic univalent function,
- subordination,
- convolution,
- generalized (p, q)-post quantum calculus operator
Citation: Shuhai Li, Lina Ma, Huo Tang. Meromorphic harmonic univalent functions related with generalized (p, q)-post quantum calculus operators[J]. AIMS Mathematics, 2021, 6(1): 223-234. doi: 10.3934/math.2021015

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Abstract

In this paper, we introduce certain subclasses of meromorphic harmonic univalent functions, which are defined by using generalized (p, q)-post quantum calculus operators as well as subordination relationship. Sufficient coefficient conditions, extreme points, distortion bounds and convolution properties for functions belonging to the subclasses are obtained.

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