%0 Journal Article
%T Analytic Solution of Integral Equation Involving Spheroidal Wave Functions of Three Variables.
%J Kirkuk Journal of Science
%I University of Kirkuk
%Z 3005-4788
%A H. Hamko, Qumri
%A I. Hassan, Talhat
%D 2012
%\ 06/28/2012
%V 7
%N 1
%P 130-145
%! Analytic Solution of Integral Equation Involving Spheroidal Wave Functions of Three Variables.
%K Analytic
%K Solution
%K Integral
%K equation
%K Involving
%K Spheroidal
%K Wave Functions
%K Three Variables
%R 10.32894/kujss.2012.45295
%X 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.
%U https://kujss.uokirkuk.edu.iq/article_45295_b8a8ae7c05b6f56c18b6e386f60f7cde.pdf