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XVI.—Dual Series Relations. III. Dual Relations Involving Trigonometric Series
Published online by Cambridge University Press: 14 February 2012
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.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 66 , Issue 3 , 1963 , pp. 173 - 184
- Copyright
- Copyright © Royal Society of Edinburgh 1963
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