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Multivariate hypergeometric functions associated with toric varieties were introduced by Gel'fand, Kapranov and Zelevinsky. Singularities of such functions are discriminants, that is, divisors project...
We describe the structure of all codimension-2 lattice configurations A which admit a stable rational A-hypergeometric function, that is a rational function F all the partial derivatives of which are ...
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 ...
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.
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 ...
Exact solutions for nonisothermal variable thickness rotating disks represented by di erent thickness pro les are obtained under plane stress assumption. The solutions are based on Tresca's yield crit...
The Laplace transform of the first exit time from a finite interval by a regular spectrally negative α-stable Ornstein-Uhlenbeck process is provided in terms of the Wright's generalized hypergeometric...
The Laplace transform of the first exit time from a finite interval by a regular spectrally negative α-stable Ornstein-Uhlenbeck process is provided in terms of the Wright's generalized hypergeometric...
We define zonal polynomials of quaternion matrix argument and deduce some important formulae of zonal polynomials and hypergeometric functions of quaternion matrix argument. As an application, we gi...
In this note we investigate the convexity of zero-balanced Gaussian hypergeometric functions and general power series with respect to Hölder means.
The purpose of this note is to give some corrections for our published article in [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...
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...

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