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

机译:m等于1时球体方程的新积分方程

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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.
机译:在$ m = 1 $的情况下研究球面波函数。为此获得了积分方程。微分方程和相应的积分方程有两种特征值,它们之间的关系被明确给出。这是我们积分方程的巨大优势,它将通过研究积分方程提供有用的信息。还为特殊情况提供了一个示例,该示例显示了研究特征值问题的另一种方法。

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