Dual Trigonometrical Series

Author:

Tranter C. J.

Abstract

In a recent joint paper with J. C. Cooke [1], we have given a method of determining the coefficients an in the “dual” Fourier-Bessel serieswhere −1 ≤p≤, F(r) is specified and αn is a positive root of Jvnα) = 0. This method reduced the problem to the solution of an infinite set of algebraical equations and it was shown that, under certain circumstances, numerical values for the coefficients could be obtained fairly readily.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

1. On trigonometrical series with mixed conditions;Shepherd;Proc. London Math. Soc.,1937

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