A New Integral Equation for the Spheroidal equations in case of m equal 1

Details A New Integral Equation for the Spheroidal equations in case of m equal 1 A New Integral Equation for the Spheroidal equations in case of m equal 1

2012-01-05

arxiv.org/abs/1201.3313v1

Physics

General Physics

Scientific paper

The spheroidal wave functions are investigated in the case m=1. The integral equation is obtained for them. For the two kinds of eigenvalues in the differential and corresponding integral equations, the relation between them are given explicitly. Though there are already some integral equations for the spheroidal equations, the relation between their two kinds of eigenvalues is not known till now. 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.

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