2009•Unpublished venueRequires access

On Class of Hypergeometric Meromorphic Functions with Fixed Second Positive Coecients

Firas Ghanim, Maslina Darus

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Abstract

In the present paper, we consider the class of hypergeometric meromorphic functions Σ∗(A,B, k, c) with fixed second positive coefficient. The object of the present paper is to obtain the coefficient estimates, convex linear combinations, distortion theorems, and radii of starlikeness and convexity for f in the class Σ∗(A,B, k, c). 2000 Mathematics Subject Classification: 30C45, 33C05

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What this paper is about

In the present paper, we consider the class of hypergeometric meromorphic functions Σ∗(A,B, k, c) with fixed second positive coefficient. The object of the present paper is to obtain the coefficient estimates, convex linear combinations, distortion theorems, and radii of starlikeness and convexity for f in the class Σ∗(A,B, k, c). 2000 Mathematics Subject Classification: 30C45, 33C05

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Available abstract

In the present paper, we consider the class of hypergeometric meromorphic functions Σ∗(A,B, k, c) with fixed second positive coefficient. The object of the present paper is to obtain the coefficient estimates, convex linear combinations, distortion theorems, and radii of starlikeness and convexity for f in the class Σ∗(A,B, k, c). 2000 Mathematics Subject Classification: 30C45, 33C05

Key concepts: Meromorphic function, Mathematics, Convexity, Hypergeometric function, Class (philosophy), Distortion (music), Convex function, Generalized hypergeometric function

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