An expansion formula for the H-function involving generalized Legendre associated functions
An expansion theorem for the H-function.
An explicit evaluation of the Gosper sum.
An explicit formula for symmetric polynomials related to the eigenfunctions of Calogero-Sutherland models.
An expression for the superposition of general algebraic functions in terms of hypergeometric series.
An Extension Of Rice's Result On An Integral Equation
An extension of Rice's result on an integral equation.
An extension of the Ramanujan-Bailey formula. (Une extension d'une formule de Ramanujan-Bailey.)
An extension of typically-real functions and associated orthogonal polynomials
Two-parameters extension of the family of typically-real functions is studied. The definition is obtained by the Stjeltjes integral formula. The kernel function in this definition serves as a generating function for some family of orthogonal polynomials generalizing Chebyshev polynomials of the second kind. The results of this paper concern the exact region of local univalence, bounds for the radius of univalence, the coefficient problems within the considered family as well as the basic properties...
An inequality for Chebyshev connection coefficients.
An integral for the product of two Selberg-Jack symmetric polynomials
An integral operator inequality with applications.
An integral representation of some hypergeometric functions.
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 operational formula involving the associated ultraspherical polynomials
An operational procedure for Hankel type integrals.
Analogues of Besicovitch-Wiener Theorem for Heisenberg Group.
Analyse harmonique hyperbolique : représentations et contractions des groupes
Another refinement of Bernstein's inequality.
Appell orthogonal polynomials on the unit circle