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Thespheroidal wave functions are investigated in the case $m = 1$. The integral equation is obtained for them. There are twokinds of eigenvalues in the differential and corresponding integral equations, andthe relation between them is given explicitly. This is the great advantage ofour integral equation, which will provide useful information through the studyof the integral equation. Also an example is given for the special case, whichshows another way to study the eigenvalue problem.

KEYWORDS

Spheroidal Wave Functions, Integral Equation, Green Function

Cite this paper

Tian, G. 2014 A New Integral Equation for the Spheroidal Equations in Case of m Equal to 1. Advances in Pure Mathematics, 4, 229-233. doi: 10.4236-apm.2014.46030.





Autor: Guihua Tian

Fuente: http://www.scirp.org/



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