Subclasses of Noshiro-Type Starlike Harmonic Functions Involving <i>q</i>-Srivastava–Attiya Operator

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
• <i>q</i>-differential operators