An asymptotic expansion for a ratio of products of gamma functions.
An explicit evaluation of the Gosper sum.
An inequality for the beta function with application to pluripotential theory.
An inequality for the product of two integrals relating to the incomplete gamma function.
An integral involving the generalized zeta function.
An integral transform and its application in the propagation of Lorentz-Gaussian beams
The aim of the present note is to derive an integral transform involving the product of the Whittaker function and the Bessel function of the first kind of order . As a by-product, we also derive certain new integral transforms as particular cases for some special values of the parameters and of the Whittaker function. Eventually, we show the application of the integral in the propagation of hollow higher-order circular Lorentz-cosh-Gaussian beams through an ABCD optical system (see,...
An interesting double inequality for Euler's gamma function.
Analytic continuation of multiple zeta-functions and their values at non-positive integers
Analytic Representations Suitable for Numerical Computation of Some Special Functions.
Another relation between π, e, γ and ζ(n).
Approximation of by .
Approximations rationnelles des valeurs de la fonction Gamma aux rationnels : le cas des puissances
ARI/GARI, la dimorphie et l'arithmétique des multizêtas : un premier bilan
Nous tentons, dans ce survol, de présenter une structure méconnue : l'algèbre de Lie ARI et son groupe GARI. Puis nous montrons quels progrès elle a déjà permis de réaliser dans l'étude arithmético-algébrique des valeurs zêta multiples et aussi quelles possibilités elle ouvre pour l'exploration du phénomène plus général de /emph{dimorphie numérique}.
Arrangements with one Bounded component and p-adic integrals.
Asymptotic expansions for ratios of products of gamma functions.
Asymptotische Entwicklungen für unvollständige Gammafunktionen.