Some Sonine-Gegenbauer type integrals

On some integrals of Glauert's type

Some principal value integrals of Glauert’s type are calculated analytically. These integrals appear when dealing with the hydrodynamic impact problem of a two-dimensional wedge onto a liquid free surface in the potential theory. © 2004 Elsevier Ltd. All rights reserved.

The Gegenbauer Polynomial Technique: the evaluation of complicated Feynman integrals

Fifteen years ago the method based on the expansion of propagators in Gegenbauer series (see [1]) has been introduced in [2, 3]. One has shown [2, 4] that by this method the analytical evaluation of counterterms in the minimal subtraction scheme at the 4-loop level in any model and for any composite operator was indeed possible. The Gegenbauer Polynomial (GP) technique has been applied successf...

Some identities involving generalized Gegenbauer polynomials

Some Integrals Involving Bessel Functions Some Integrals Involving Bessel Functions

A number of new definite integrals involving Bessel functions are presented. These have been derived by finding new integral representations for the product of two Bessel functions of different order and argument in terms of the generalized hypergeometric function with subsequent reduction to special cases. Connection is made with Weber's second exponential integral and Laplace transforms of pr...

On some Gronwall type inequalities with iterated integrals

The main objective of the present paper is to establish some new Gronwall type inequalities involving iterated integrals.