Wangerin functions
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概要
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Wangerin functions are the solutions of Wangerin differential equations, which are obtained when Laplace equation is R-separated in flat-ring cyclide coordinates. Wangerin functions are required in solving the boundary value problem in this coordinate system. Wangerin functions, however, are not always known fully because of their complex properties. In this paper, eight particular Wangerin functions are presented. Eigenvalues and eigenfunctions are numerically obtained under the boundary conditions that the functions and their derivatives are bounded at the ends of interval.
- 山梨大学の論文
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