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2009•Journal of Changshu Institute of TechnologyRequires access

A Certain Class of Meromorphically Multivalent Functions Involving the Generalized Hypergeometric Function

Ding‐Gong Yang

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Abstract

Let∑_p(p∈N) be the class of functions f(z) = z~(-p) + a_(1-p)z~(1-p) +…analytic in the punctured open unit disk. Making use of a linear operator,which is defined here by means of the generalized hypergeometric function,we introduceand investigate a certain subclass M_p~(l,m)(α_1,λ;h) of∑_p.Some inclusion relationships and convolution properties for the function class are presented.

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What this paper is about

Let∑_p(p∈N) be the class of functions f(z) = z~(-p) + a_(1-p)z~(1-p) +…analytic in the punctured open unit disk. Making use of a linear operator,which is defined here by means of the generalized hypergeometric function,we introduceand investigate a certain subclass M_p~(l,m)(α_1,λ;h) of∑_p.Some inclusion relationships and convolution properties for the function class are presented.

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Available abstract

Let∑_p(p∈N) be the class of functions f(z) = z~(-p) + a_(1-p)z~(1-p) +…analytic in the punctured open unit disk. Making use of a linear operator,which is defined here by means of the generalized hypergeometric function,we introduceand investigate a certain subclass M_p~(l,m)(α_1,λ;h) of∑_p.Some inclusion relationships and convolution properties for the function class are presented.

Key concepts: Generalized hypergeometric function, Unit disk, Hypergeometric function, Class (philosophy), Mathematics, Convolution (computer science), Pure mathematics, Function (biology)

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