Integrals involving product of Bessel functions and generalized hypergeometric functions.
Integrals involving products of -functions and Appell’s functions
Integrals of Frullani type and the method of brackets
The method of brackets is a collection of heuristic rules, some of which have being made rigorous, that provide a flexible, direct method for the evaluation of definite integrals. The present work uses this method to establish classical formulas due to Frullani which provide values of a specific family of integrals. Some generalizations are established.
Integrals of logarithmic and hypergeometric functions
Integrals of logarithmic and hypergeometric functions are intrinsically connected with Euler sums. In this paper we explore many relations and explicitly derive closed form representations of integrals of logarithmic, hypergeometric functions and the Lerch phi transcendent in terms of zeta functions and sums of alternating harmonic numbers.
Integration der Gleichung ..............durch Bessel'sche Functionen
Interpolatorische Kubatorformeln und reelle Ideale.
Intertwining Operators and Polynomials Associated with the Symmetric Group.
Inverse Problems Involving Generalized Axial-Symmetric Helmholtz Equation
MSC 2010: 35J05, 33C10, 45D05
Inversion formulas for the Dunkl intertwining operator and its dual on spaces of functions and distributions.
Inversion formulas for the spherical Radon-Dunkl transform.
Inversion integrals for the integral transforms involving the Meijer’s -function as kernel
Inversion techniques and combinatorial identities. A unified treatment for the 7f6-series identities.
Inversion techniques and combinatorial identities. Jackson’s -analogue of the Dougall-Dixon theorem and the dual formulae
Irrationalité de valeurs de zêta
Les valeurs aux entiers pairs (strictement positifs) de la fonction de Riemann sont transcendantes, car ce sont des multiples rationnels de puissances de . En revanche, on sait très peu de choses sur la nature arithmétique des , pour entier. Apéry a démontré en 1978 que est irrationnel. Rivoal a prouvé en 2000 qu’une infinité de sont irrationnels, mais sans pouvoir en exhiber aucun autre que . Il existe plusieurs points de vue sur la preuve d’Apéry ; celui des séries hypergéométriques...
Irrationality measures of and .
Irrationality measures of the values of hypergeometric functions
Itération des polynômes et propriétés d'orthogonalité
Iterative square roots of Cebysev polynomials.
Jacobi type and Gegenbauer type generalization of certain polynomials
Jacobi-Sobolev orthogonal polynomials: asymptotics for -coherence of measures.