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Rational hypergeometric functions
Multivariate hypergeometric function complex curved surface the double circular orbit closures geometric function
2014/12/29
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...
The Structure of Bivariate Rational Hypergeometric Functions
Codimension 2 lattice structure configuration rational function F partial derivatives zero complex curved surface
2014/12/24
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 ...
Two-sided exit problem for a Spectrally Negative α-Stable Ornstein-Uhlenbeck Process and the Wright's generalized hypergeometric functions
Ornstein-Uhlenbeck Process deduce generalized hypergeometric functions
2009/3/27
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...
Two-sided exit problem for a Spectrally Negative α-Stable Ornstein-Uhlenbeck Process and the Wright's generalized hypergeometric functions
Laplace transform Spectrally Negative hypergeometric functions
2009/3/23
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...
Zonal polynomials and hypergeometric functions of quaternion matrix argument
Zonal polynomial Hypergeometric function quaternion matrix Wishart matrix 2000 Mathematics Subject Classification
2010/3/17
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...