A New Integral Equation for the Spheroidal Equations in Case of m Equal to 1

Guihua Tian

University of Posts and Telecommunications, Beijing, China.

DOI: 10.4236/apm.2014.46030                

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.

Keywords

Spheroidal Wave Functions, Integral Equation, Green Function

Conflicts of Interest

The authors declare no conflicts of interest.

References

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