减少 发表于 2025-3-28 15:05:07
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Legendre Polynomials and Legendre Functions,rive corresponding program codes supporting complex arguments and complex indices. The code is freely available. The functions covered are Legendre polynomials and Legendre functions of first and second kind, the evaluation of the nodes for the Legendre functions of first kind based on the correspon发誓放弃 发表于 2025-3-29 13:51:37
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http://reply.papertrans.cn/88/8737/873672/873672_49.png背景 发表于 2025-3-30 06:21:42
Hypergeometric Functions,ode for download is available. With various coordinate transformations the hypergeometric function will be mapped on arguments outside the unit circle. The numerical techniques used and discussed are direct series expansions, path integral methods and recurrence formulas in dependence of the functio