Some dual series equations involving Jacobi polynomials
- 1 April 1963
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 59 (2) , 363-371
- https://doi.org/10.1017/s0305004100036999
Abstract
In this paper first of all we find an exact solution of the dual series equationswhereand Jn is the Jacobi polynomial defined byThe 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.Keywords
This publication has 3 references indexed in Scilit:
- On some dual series equations and their application to electrostatic problems for spheroidal capsMathematical Proceedings of the Cambridge Philosophical Society, 1961
- Dual Trigonometrical SeriesProceedings of the Glasgow Mathematical Association, 1959
- On the problem of the electrified discProceedings of the Edinburgh Mathematical Society, 1947