Some results involving generalized hypergeometric polynomial and Bessel functions
Some results on a generalized -Jacobi transform.
Some results on biorthogonal polynomials.
Some results on generating functions.
Some Results on Hypertranscendental Meromorphic Functions.
Some results on the non-commutative neutrix product of distributions and .
Some special functions related to unimodular pseudo-orthogonal groups
We obtain some matrix elements of basis transformations in a representation space of the unimodular pseudo-orthogonal group. Using these elements, we derive some formulas for special functions.
Some summation formulae over the set of partitions.
Some sums of Legendre and Jacobi polynomials
We prove identities involving sums of Legendre and Jacobi polynomials. The identities are related to Green’s functions for powers of the invariant Laplacian and to the Minakshisundaram-Pleijel zeta function.
Some theorems on the explicit evaluations of singular moduli.
Some theta functions identities associated with the modular equations of degree 5.
Sommation d'une série remarquable
Sonin-type expansions for solutions to a generalized Bessel equation of order and their application.
Sous-groupes analytiques de variétés de groupe
Special Classes of Orthogonal Polynomials and Corresponding Quadratures of Gaussian Type
MSC 2010: 33C47, 42C05, 41A55, 65D30, 65D32In the first part of this survey paper we present a short account on some important properties of orthogonal polynomials on the real line, including computational methods for constructing coefficients in the fundamental three-term recurrence relation for orthogonal polynomials, and mention some basic facts on Gaussian quadrature rules. In the second part we discuss our Mathematica package Orthogonal Polynomials (see [2]) and show some applications to problems...
Special Functions and Infinite-dimensional Representations of Lie Groups.
Special Functions and Pathways for Problems in Astrophysics: An Essay in Honor of A.M. Mathai
The paper provides a review of A.M. Mathai's applications of the theory of special functions, particularly generalized hypergeometric functions, to problems in stellar physics and formation of structure in the Universe and to questions related to reaction, diffusion, and reaction-diffusion models. The essay also highlights Mathai's recent work on entropic, distributional, and differential pathways to basic concepts in statistical mechanics, making use of his earlier research results in information...
Special values of multiple gamma functions
We give a Chowla-Selberg type formula that connects a generalization of the eta-function to with multiple gamma functions. We also present some simple infinite product identities for certain special values of the multiple gamma function.
Special values of the dilogarithm function
Spécialisation dans les disques singuliers réguliers