Macdonald polynomials and multivariable basic hypergeometric series.
Mathematical Problems on the First and Second Divisions of the Schedule of Subjects [Book]
Mathematical structures behind supersymmetric dualities
The purpose of these notes is to give a short survey of an interesting connection between partition functions of supersymmetric gauge theories and hypergeometric functions and to present the recent progress in this direction.
Matrix Integrals, Toda Symmetries, Virasoro Constraints and Orthogonal Polynomials
Matrix solutions of the functional equation of the gamma function.
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...
Mean Value Theorems in q-calculus
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 développements en fractions continues de la fonction exponentielle, pouvant servir d'introduction à la théorie des fractions continues algébriques
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.
Mémoires sur les fonctions elliptiques qui correspondent à la fonction . Premier mémoire
Mémoires sur les fonctions elliptiques qui correspondent à la fonction cos + sin
Mercerian Theorems Involving Cesàro Means of Positive Order.
Méthode de Cauchy pour l'inversion de l'intégrale elliptique.
Methodické poznámky k odvozování periodičnosti funkce exponenciální