Semi-orthogonality of a class of the gauss' hypergeometric polynomials
Series and recurrence relations for Meijer's G-function
Several properties of generalized Fox's H-functions and their applications
Solution of Space-Time Fractional Schrödinger Equation Occurring in Quantum Mechanics
Dedicated to Professor A.M. Mathai on the occasion of his 75-th birthday. Mathematics Subject Classi¯cation 2010: 26A33, 44A10, 33C60, 35J10.The object of this article is to present the computational solution of one-dimensional space-time fractional Schrödinger equation occurring in quantum mechanics. The method followed in deriving the solution is that of joint Laplace and Fourier transforms. The solution is derived in a closed and computational form in terms of the H-function. It provides an elegant...
Some applications of hypergeometric shift operators.
Some extensions of the multiplication theorems.
Some extensions of the multiplication theorems (I).
Some extensions of the multiplication theorems (II).
Some formulae involving confluent hypergeometric functions and Meijer's G-function
Some formulae involving generalized Fox's H-function of two variables
Some integral properties of a general class of polynomials associated with Feynman integrals.
Some multiple Gaussian hypergeometric generalizations of Buschman-Srivastava theorem.
Some new generating functions
Some problems and solutions involving Mathieu's series and its generalizations.
Some results involving a generalized Meijer function
Some results involving Fox's H-function
Some results on generating functions.
Spécialisation dans les disques singuliers réguliers
Stokes matrices of hypergeometric integrals
In this work we compute the Stokes matrices of the ordinary differential equation satisfied by the hypergeometric integrals associated to an arrangement of hyperplanes in generic position. This generalizes the computation done by J.-P. Ramis for confluent hypergeometric functions, which correspond to the arrangement of two points on the line. The proof is based on an explicit description of a base of canonical solutions as integrals on the cones of the arrangement, and combinatorial relations between...
Study of a generalized integral operator