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

Gangadharan Murugusundaramoorthy, Kaliappan Vijaya, Daniel Breaz and Luminiţa-Ioana Cotîrlǎ ()
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Gangadharan Murugusundaramoorthy: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT), Vellore 632014, India
Kaliappan Vijaya: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT), Vellore 632014, India
Daniel Breaz: Department of Mathematics, “1 Decembrie 1918” University of Alba-Iulia, 510009 Alba-Iulia, Romania
Luminiţa-Ioana Cotîrlǎ: Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Mathematics, 2023, vol. 11, issue 23, 1-20

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.

Keywords: analytic functions; univalent; harmonic; harmonic starlike functions; convolution; q -differential operators; q -Srivastava–Attiya operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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