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Your search keyword '"HYPERGEOMETRIC functions"' showing total 2 results
Start Over Descriptor "HYPERGEOMETRIC functions" Topic convex functions Topic integral operators Publisher hindawi limited
2 results on '"HYPERGEOMETRIC functions"'

1. On Certain Classes of p-Valent Functions by Using Complex-Order and Differential Subordination.

Author

Tehranchi, Abdolreza and Kılıçman, Adem

Subjects
*ANALYTIC functions, *HYPERGEOMETRIC functions, *CONVEX functions, *STAR-like functions, *UNIVALENT functions, *INFINITE series (Mathematics), *MATHEMATICAL inequalities, *MATHEMATICAL constants, *INTEGRAL operators
Abstract

The aim of the present paper is to study the p-valent analytic functions in the unit disk and satisfy the differential subordinations z(Ip)r, λ(f(z))(j+1)/(p - j)(ɔp(r, λ)f(z))(j) < (a + (aB + (A- B)β)z)/a(1 + Bz), where ɔp(r, λ) is an operator defined by Sălăgean and β is a complex number. Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting properties. [ABSTRACT FROM AUTHOR]

Published
2010
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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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