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Spherical functions of fundamental K-types associated with the n-dimensional sphere
(2014)
In this paper, we describe the irreducible spherical functions of fundamental K-types associated with the pair (G, K) = (SO(n + 1), SO(n)) in terms of matrix hypergeometric functions. The output of this description is that ...
Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere
(Natl Acad Sci Ukraine, 2014-01)
In this paper, we describe the irreducible spherical functions of fundamentalK-types associated with the pair (G, K) = (SO(n + 1), SO(n)) in terms of matrix hypergeometric functions. The output of this description is that ...
Bivariate generalization of the kummer-beta distributionGeneralización bivariada de la distribución kummer-beta
(Universidad Nacional de Colombia, Facultad de Ciencias, Departamento de EstadísticaAnálisis MultivariadoBogotá, Colombia, 2022)
Remarks on the zeros of the associated legendre functions with integral degree
(Springer Netherlands, 2008)
The inversion, formulae for some bessel and hypergeometric transforms
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 1976)
By an appeal to the Laplace transform and their inverses we have obtained five inversión formulae for some Bessel function transforms. The inversion formula for hyperqeometric transforms have been given whose kernel are ...
A Characterization of L-orthogonal Polynomials from Three Term Recurrence Relations
(Springer, 2011-01-01)
We consider the sequence of polynomials {Q (n) } satisfying the L-orthogonality a"(3)[z (-n+m) Q (n) (z)]=0, 0a parts per thousand currency signma parts per thousand currency signn-1, with respect to a linear functional ...
Selberg integrals, super-hypergeometric functions and applications to beta-ensembles of random matrices
(2015)
We study a new Selberg-type integral with n+m indeterminates, which turns out to be related to the deformed Calogero-Sutherland systems. We show that the integral satisfies a holonomic system of n + m non-symmetric linear ...
Szego type polynomials and para-orthogonal polynomials
(Academic Press Inc. Elsevier B.V., 2010-10-01)
Szego type polynomials with respect to a linear functional M for which the moments M[t(n)] = mu(-n) are all complex, mu(-n) = mu(n) and D(n) not equal 0 for n >= 0. are considered. Here, D(n) are the associated Toeplitz ...
Szego type polynomials and para-orthogonal polynomials
(Academic Press Inc. Elsevier B.V., 2010-10-01)
Szego type polynomials with respect to a linear functional M for which the moments M[t(n)] = mu(-n) are all complex, mu(-n) = mu(n) and D(n) not equal 0 for n >= 0. are considered. Here, D(n) are the associated Toeplitz ...