• ON A CLASS OF ANALYTIC FUNCTIONS  ASSOCIATED WITH GENERALIZED HYPERGEOMETRIC FUNCTIONS

Chena Ram; Saroj Solanki*

• ON A CLASS OF ANALYTIC FUNCTIONS ASSOCIATED WITH GENERALIZED HYPERGEOMETRIC FUNCTIONS

Chena Ram, Saroj Solanki*

Abstract

Invoking the Hadamard product, a new class of univalent functions has been introduced in this paper. Coefficient inequalities for this class are obtained. Making use of generalized fractional integration operators, we also obtain distortion theorem and some other results for the same class of functions.

Keywords

Hadamard product, Gaussian hypergeometric function, Generalized hypergeometric function, Linear operator, Generalized Saigo operator, Distortion theorem, Riemann-Lioueville operator, Erdelyi- Kober operator.

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