Some Sonine-Gegenbauer type integrals
In this paper, we consider Sonine-Gegenbauer type integrals of the form integral(0)(z) C-mu(root alpha(2) + at(2))/(alpha(2) + at(2))(delta/2) D nu(root beta(2) + bt(2))/(beta(2) + bt(2))(nu/2) t(lambda-1) dt, where C-mu(x) and D-nu(z) are Bessel functions. Series representations for z = infinity and z finite are obtained. Certain special cases and an application are given. (C) 1999 Elsevier Science Ltd. All rights reserved.
bessel functions sonine-gegenbauer integrals hypergeometric functions