On Class of Hypergeometric Meromorphic Functions with Fixed Second Positive Coecients
Firas Ghanim, Maslina Darus
Abstract
Firas Ghanim, Maslina Darus
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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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