Heine Functions
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概要
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Heine functions are the solutions of the Heine differential equations, which are obtained when the Laplace equation is R-separated in bi-cyclide coordinates. Heine functions are required in solving the boundary value problem in this coordinate system. Heine functions, however, are not always known fully because of their complicated properties. In this paper, eight particular Heine functions are presented, and 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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