Some dual series equations involving Jacobi polynomials-Reference-Cited by-同舟云学术

Some dual series equations involving Jacobi polynomials

Published:1963-04 Issue:2 Volume:59 Page:363-371
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Noble B.

Abstract

In this paper first of all we find an exact solution of the dual series equations

where

and Jn is the Jacobi polynomial defined by

The Bn are unknown coefficients which are to be determined. The functions f, g and the parameters a, λ, μ, are given. Necessary restrictions on these quantities are indicated during the analysis.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference4 articles.

1. On some dual series equations and their application to electrostatic problems for spheroidal caps

2. On the problem of the electrified disc

3. Dual Trigonometrical Series

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