Kirkuk Journal of Science

Kirkuk Journal of Science

Analytic Solution of Integral Equation Involving Spheroidal Wave Functions of Three Variables.

Authors
Abstract
In this paper Laplace transform and convolution theorem are used to solve integral equation involving spheroidal wave functions(S.W.F.) of 3-variables of the form
where are the spheroidal wave function:-



which represents the function uniformly converges on (-,), where V,n(x) are eigen values and the coefficients ak(x,n) satisfy the recursion formula and the asterisk over the summation sign indicates that the sum is taken over only even or odd values of (k) according as (n) is even or odd.
Keywords

Volume 7, Issue 1
Spring 2012
Page 130-145

  • Receive Date 01 June 2012
  • Revise Date 20 June 2012
  • Accept Date 25 June 2012