Convolution properties of meromorphically harmonic functions defined by a generalized convolution $ q $-derivative operator

The goal of this article is to define, explore and analyze two new families of meromorphically harmonic functions by applying the concept of a certain generalized convolution q-operator along with the idea of convolution. We investigate convolution properties and sufficiency criteria for these famil...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 6; pp. 5869 - 5885
Main Authors Srivastava, Hari Mohan, Arif, Muhammad, Raza, Mohsan
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
coefficent estimates
convolution operator
functions of the janowski type
generalized convolution q-derivative operator
harmonic analytic functions
inclusion relations
meromorphically harmonic convex functions
meromorphically harmonic functions
meromorphically harmonic starlike functions
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Summary:The goal of this article is to define, explore and analyze two new families of meromorphically harmonic functions by applying the concept of a certain generalized convolution q-operator along with the idea of convolution. We investigate convolution properties and sufficiency criteria for these families of meromorphically harmonic functions. Some of the interesting consequences of our investigation are also included.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021347