Convolution properties of meromorphically harmonic functions defined by a generalized convolution $ q $-derivative operator
H. M. Srivastava, Muhammad Arif, Mohsan Raza
Abstract
<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. </abstract>
Topics & Concepts
Convolution (computer science)Meromorphic functionConvolution powerHarmonic functionOperator (biology)HarmonicConvolution theoremMathematicsOverlap–add methodCircular convolutionPure mathematicsAlgebra over a fieldMathematical analysisComputer scienceFourier transformPhysicsArtificial intelligenceFractional Fourier transformFourier analysisQuantum mechanicsChemistryBiochemistryTranscription factorArtificial neural networkGeneRepressorAnalytic and geometric function theoryHolomorphic and Operator TheoryMathematical Inequalities and Applications