Subclasses of Noshiro-Type Starlike Harmonic Functions Involving q-Srivastava–Attiya Operator

Author:

Murugusundaramoorthy Gangadharan1ORCID,Vijaya Kaliappan1ORCID,Breaz Daniel2ORCID,Cotîrlǎ Luminiţa-Ioana3ORCID

Affiliation:

1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT), Vellore 632014, India

2. Department of Mathematics, “1 Decembrie 1918” University of Alba-Iulia, 510009 Alba-Iulia, Romania

3. Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Abstract

In this paper, the harmonic function related to the q-Srivastava–Attiya operator is described to introduce a new class of complex harmonic functions that are orientation-preserving and univalent in the open-unit disk. We also cover some important aspects such as coefficient bounds, convolution conservation, and convexity constraints. Next, using sufficiency criteria, we calculate the sharp bounds of the real parts of the ratios of harmonic functions to their sequences of partial sums. In addition, for the first time some of the interesting implications of the q-Srivastava–Attiya operator in harmonic functions are also included.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference53 articles.

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5. On a linear combination of classes of multivalently harmonic functions;Ahuja;Kyungpook Math. J.,2002

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