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A new generalization of generalized hypergeometric functions
generalized hypergeometric functions Complex Variables
2012/6/15
In this paper a natural generalization of the familiar H -function of Fox namely the I -function is proposed. Convergence conditions, various series representations, elementary properties and special ...
Confluent A-hypergeometric functions and rapid decay homology cycles
A-hypergeometric functions decay homology cycles Algebraic Geometry
2011/8/23
Abstract: We study confluent A-hypergeometric functions introduced by Adolphson. In particular, we give their integral representations by using rapid decay homology cycles of Hien.
Quantum mechanical potentials exactly solvable in terms of higher hypergeometric functions. I: The third-order case
Quantum mechanical higher hypergeometric third-order
2011/7/25
Abstract: We present a new six-parameter family of potentials whose solutions are expressed in terms of the hypergeometric functions 3F2, 2F2 and 1F2. Both the scattering data and the bound states of ...
Certain Sufficiency Conditions on Gaussian Hypergeometric Functions
Gaussian hypergeometric functions Convex functions Starlike functions
2008/7/1
Certain Sufficiency Conditions on Gaussian Hypergeometric Functions.
Convexity of the Zero-Balanced Gaussian Hypergeometric Functions with Respect to H鰈der Means
Multiplicatively convexity Log-convexity Hypergeometric functions Hö lder means
2008/7/1
In this note we investigate the convexity of zero-balanced Gaussian hypergeometric functions and general power series with respect to Hölder means.
ERRATA: Inequalities Associating Hypergeometric Functions with Planer Harmonic Mappings
Errata Planar harmonic mappings hypergeometric functions
2008/7/1
The purpose of this note is to give some corrections for our published article in [1].
Inequalities Associating Hypergeometric Functions With Planer Harmonic Mappings
Planer harmonic mappings Hypergeometric functions Convolution multipliers Harmonic starlike Harmonic convex Inequalities
2008/7/1
Though connections between a well established theory of analytic univalent functions and hypergeometric functions have been investigated by several researchers, yet analogous connections between plane...
Integral Means For Uniformly Convex and Starlike Functions Associated With Generalized Hypergeometric Functions
Univalent Starlike Convex Uniformly convex Uniformly starlike Hadamard product Integral means Generalized hypergeometric functions
2008/6/30
Making use of the generalized hypergeometric functions, we introduce some generalized class of k-uniformly convex and starlike functions and for this class, we settle the Silverman's conjecture for th...