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Your search keyword '"HYPERGEOMETRIC functions"' showing total 2 results
2 results on '"HYPERGEOMETRIC functions"'

1. On Certain Sufficient Condition Involving Gaussian Hypergeometric Functions.

Author

Silverman, H., Rosy, Thomas, and Kavitha, S.

Subjects
*HYPERGEOMETRIC series, *ANALYTIC functions, *CONVEX functions, *REAL variables, *FUNCTIONAL analysis, *DIFFERENTIAL equations, *COMPLEX numbers, *POWER series, *HYPERGEOMETRIC functions, *NUMERICAL solutions to functional equations
Abstract

The authors define a new subclass of A of functions involving complex order in the open unit disk U. For this new class, we obtain certain inclusion properties involving the Gaussian hypergeometric functions. [ABSTRACT FROM AUTHOR]

Published
2009
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2. Starlike and Convex Properties for Hypergeometric Functions.

Author

Oh Sang Kwon and Nak Eun Cho

Subjects
*HYPERGEOMETRIC functions, *CONVEX functions, *STAR-like functions, *GAUSSIAN processes, *INTEGRAL operators, *HYPERGEOMETRIC series
Abstract

The purpose of the present paper is to give some characterizations for a (Gaussian) hypergeometric function to be in various subclasses of starlike and convex functions. We also consider an integral operator related to the hypergeometric function. [ABSTRACT FROM AUTHOR]

Published
2008
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