Physics

Operator (biology)

Meromorphic function

Pure mathematics

Fourier analysis

Mathematics

Convolution (computer science)

Convolution theorem

Convolution power

Transcription factor

Fourier transform

Gene

Harmonic

Algebra over a field

Mathematical analysis

Artificial intelligence

Repressor

Overlap–add method

Chemistry

Circular convolution

Computer science

Quantum mechanics

Harmonic function

Artificial neural network

Biochemistry

Fractional Fourier transform

AIMS Mathematics

<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>

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