XVI.—Dual Series Relations. III. Dual Relations Involving Trigonometric Series
- 1 January 1962
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh. Section A. Mathematical and Physical Sciences
- Vol. 66 (3) , 173-184
- https://doi.org/10.1017/s0080454100007822
Abstract
Synopsis: The methods developed in I, II of this series of papers are applied to a solution of a variety of dual series relations involving trigonometric series. In general the problem is reduced to one of solving (usually by numerical methods) a Fredholm integral equation of the second kind for an auxiliary function g(t), but for certain values of the parameters it is possible to obtain analytical solutions of the integral equations and these cases are considered in detail.Keywords
This publication has 2 references indexed in Scilit:
- Dual Trigonometrical SeriesProceedings of the Glasgow Mathematical Association, 1959
- A further note on dual trigonometrical seriesProceedings of the Glasgow Mathematical Association, 1959