Matrix Integrals, Toda Symmetries, Virasoro Constraints and Orthogonal Polynomials
Matrix valued orthogonal polynomials of Jacobi type: the role of group representation theory
The main purpose of this paper is to present new families of Jacobi type matrix valued orthogonal polynomials obtained from the underlying group and its representations. These polynomials are eigenfunctions of some symmetric second order hypergeometric differential operator with matrix coefficients. The final result holds for arbitrary values of the parameters , but it is derived only for those values that come from the group theoretical setup.
Matrix-Variate Statistical Distributions and Fractional Calculus
MSC 2010: 15A15, 15A52, 33C60, 33E12, 44A20, 62E15 Dedicated to Professor R. Gorenflo on the occasion of his 80th birthdayA connection between fractional calculus and statistical distribution theory has been established by the authors recently. Some extensions of the results to matrix-variate functions were also considered. In the present article, more results on matrix-variate statistical densities and their connections to fractional calculus will be established. When considering solutions of fractional...
Meixner-type results for Riordan arrays and associated integer sequences.
Mellin transforms of Whittaker functions on GL(4, R) and GL(4, C).
Mémoire sur les fonctions de Legendre.
Mémoire sur les fonctions hypergéométriques d'ordre supérieur (seconde partie)
Mémoire sur l'intégration d'une classe de fonctions transcendantes.
Mémoire sur une suite de polynômes entiers et sur quelques intégrales définies.
Metric distorsion and triangle maps.
Mirror symmetry and toric geometry.
Mixed generating relations for polynomials related to Konhauser biorthogonal polynomials
Moment-Preserving Spline Approximation on Finite Intervals.
Moments of the product distribution.
Monodromy for the hypergeometric function nFn-1.
Monodromy of hypergeometric functions and non-lattice integral monodromy
Monodromy of the hypergeometric differential equation of type (3,6) II. The unitary reflection group of order
Monotonicity and bounds on Bessel functions.
Monotonicity properties of the linear combination of derivatives of some special functions
Motzkin numbers, central trinomial coefficients and hybrid polynomials.