2011Unpublished venueRequires access

Inclusion Properties of Certain Classes of Meromorphic Functions Associated with the Generalized Hypergeometric Function

Min Wang

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Abstract

Let Σp denote the class of functions normalized by ∞ n=1 anz n−p (p ∈ N ), which are analytic and p-valent in 0 < |z| < 1. Making use of a linear operator, which is defined here by the generalized hypergeometric function, we introduce some new subclasses of the meromorphically p-valent function class Σp and investigate their inclusion relationships.

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Let Σp denote the class of functions normalized by ∞ n=1 anz n−p (p ∈ N ), which are analytic and p-valent in 0 < |z| < 1. Making use of a linear operator, which is defined here by the generalized hypergeometric function, we introduce some new subclasses of the meromorphically p-valent function class Σp and investigate their inclusion relationships.

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Available abstract

Let Σp denote the class of functions normalized by ∞ n=1 anz n−p (p ∈ N ), which are analytic and p-valent in 0 < |z| < 1. Making use of a linear operator, which is defined here by the generalized hypergeometric function, we introduce some new subclasses of the meromorphically p-valent function class Σp and investigate their inclusion relationships.

Key concepts: Meromorphic function, Hypergeometric function, Mathematics, Class (philosophy), Generalized hypergeometric function, Function (biology), Analytic function, Operator (biology)

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