Abstract

In [López JL. Asymptotic expansions of Mellin convolution integrals. SIAM Rev. 2008;50(2):275–293] we introduced a method to compute Mellin convolution integrals of the form in terms of a double power series of x. In this paper we extend the method to convolution integrals with a logarithmic kernel of the form . As we did in [1], we only require for f(t) and h(t) to have a power asymptotic expansion at t=∞ and t=0, respectively. We apply this method to derive an asymptotic expansion of the third Appell function for one large variable. The accuracy of the approximation is illustrated with numerical experiments.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call