A certain convolution approach for subclasses of analytic functions with negative coefficients

Abstract

Making use of the familiar convolution structure of analytic functions, in this study we introduce and investigate a new subclass of analytic functions, whose Taylor-Maclaurin coefficients from the second term onwards are all negative. We derive the coefficient inequalities and other interesting properties and characteristics for functions belonging to the general class, which we have introduced and studied in this article.

Certain Properties of a Generalized Class of Analytic Functions Involving Some Convolution Operator

“…The class T was first introduced by Silverman [48] and later on studied extensively by a number of authors including the ones in [1, 2, 20-22, 35, 44, 49, 50]. Also see Srivastava et al [51][52][53][54][55][56][57].…”

Certain Classes of Analytic Functions Associated With q-Analogue of p-Valent Cătaş Operator

“…al [28], Orhan [30] and Srivastava et. al [38], we denote T j (p) the subclass of A j (p) consisting of analytic and p-valent functions with negative coefficients which can expressed in the form:…”