Karthikeyan Kadhavoor, Mohankumar Dharmaraj

Estimates for a subclass of starlike functions involving a exponential function

Introduction

Estimates for a subclass of starlike functions involving a exponential function . Estimates for a new class of analytic functions, defined using multiplicative derivatives. Covers initial coefficients, inclusion, and closure properties of starlike functions.

Abstract

In this paper, a new class of analytic function is defined by using an analytic characterization which is influenced by the multiplicative derivative. Multiplicative derivative is defined in a domain which excludes zero, so here the defined subclass did not involve swapping the ordinary derivative with a multiplicative derivative. But we have just used the motivation behind the purpose of such a restrictive calculus, given the circumstances that we have a more versatile calculus of Newton and Euler. Estimates involving the initial coefficients, inclusion and closure properties, which belong to the defined function class are our main results.

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