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Tables of Angular Spheroidal Wave Functions. Volume 1. Prolate, m = 0,

Arnie Lee Van Buren, Benson Jay King, R. V. Baier, S. Hanish

Abstract

Contents: Prolate spheroidal coordinates; Factored solutions of the Helmholtz wave; Equation in prolate spheroidal coordinates; Prolate angular functions; Brief introduction to the linear prolate functions; Computational procedure; Accuracy of the tables; Use of the tables--(Expansion of g, evaluation of the coefficients (d sub n), calculation of the integrals (I sub l) ); Historical review; References and bibliography; Symbols used in the tables; Range of variables.

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Key concepts: Prolate spheroid, Prolate spheroidal coordinates, Helmholtz equation, Wave function, Mathematics, Mathematical analysis, Range (aeronautics), Helmholtz free energy