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

Hari Mohan Srivastava; Muhammad Arif; Mohsan Raza; Hari Mohan Srivastava; Muhammad Arif; Mohsan Raza

doi:10.3934/math.2021347

AIMS Mathematics

2021, Volume 6, Issue 6: 5869-5885. doi: 10.3934/math.2021347

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

1.
Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada
2.
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan, China
3.
Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan
4.
Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy
5.
Faculty of Physical and Numerical Sciences, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan
6.
Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan

Received: 29 December 2020 Accepted: 18 March 2021 Published: 26 March 2021
MSC : Primary 30C45, 30C55; Secondary 30C80

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.
Citation: Hari Mohan Srivastava, Muhammad Arif, Mohsan Raza. Convolution properties of meromorphically harmonic functions defined by a generalized convolution $ q $-derivative operator[J]. AIMS Mathematics, 2021, 6(6): 5869-5885. doi: 10.3934/math.2021347

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Abstract

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.

References

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