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A program for computing the conical functions of the first kind Pm -1 2 +iτ(x) for m = O and m = 1

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doi.org2025-03-23 收录
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http://doi.org/10.17632/vtbx3vz5gx.1
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Title of program: FCONIC Catalogue Id: AAQH_v1_0 Nature of problem The conical functions Pm(-1/2+i*tau)(x) appear in a wide range of physical applications. Here we mention boundary value problems for the Laplace equation in regions bounded by cones, by two intersecting spheres, or by one or two confocal hyperboloids of revolution. Further, these functions are used in the Mehler-Fock integral transform for problems in potential and heat theory, and in elementary particle physics. Versions of this program held in the CPC repository in Mendeley Data AAQH_v1_0; FCONIC; 10.1016/0010-4655(81)90129-6 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

程序标题:FCONIC 目录编号:AAQH_v1_0 问题性质:锥形函数Pm(-1/2+i*tau)(x)在众多物理领域中有着广泛的应用。在此,我们提及了由锥体、两个相交的球体或一个或两个共焦旋转双曲面所界定的区域中拉普拉斯方程的边值问题。此外,这些函数在势能和热理论问题以及基本粒子物理学中的梅勒-福克积分变换中得到应用。 CPC数据存储库中持有的此程序版本 AAQH_v1_0;FCONIC;10.1016/0010-4655(81)90129-6 该程序已从贝尔法斯特女王大学(1969-2019)所持有的CPC程序库中导入。
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