ON A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY RABOTNOV FUNCTION

ON A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY RABOTNOV FUNCTION

A. Lagad, R. N. Ingle, P. Thirupathi Reddy, B. Venkateswarlu

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Abstract

The study of the geometric properties of analytic functions and their numerous applications in a variety of mathematical fields, including fractional calculus, probability distributions, and special functions, has drawn significant and impressive attention to Geometric Function Theory (GFT), one of the most prominent branches of complex analysis, in recent years. The focus of this article is the introduction of a new subclass of analytic functions involving Rabotnov function and obtained coefficient inequalities, convex linear combination, radii properties, Integral means inequality and neighborhood result for this class.

Keywords

analytic, convex, starlike, coefficient estimates, neighborhood.