TITLE:
A New Integral Equation for the Spheroidal Equations in Case of m Equal to 1
AUTHORS:
Guihua Tian
KEYWORDS:
Spheroidal Wave Functions, Integral Equation, Green Function
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.6,
June
6,
2014
ABSTRACT:
The
spheroidal wave functions are investigated in the case $m = 1$. The integral equation is obtained for them. There are two
kinds of eigenvalues in the differential and corresponding integral equations, and
the relation between them is given explicitly. This is the great advantage of
our integral equation, which will provide useful information through the study
of the integral equation. Also an example is given for the special case, which
shows another way to study the eigenvalue problem.