Note on the relations between series equations and integral equations
Published online by Cambridge University Press: 24 October 2008
Extract
Williams ((3)) has transformed certain series equations in Legendre functions to Bessel integral equations; his main result being that if
then
and vice versa. (Here, n is written for Williams's n + m. The coefficients an are related to Williams's An by a factor. There is an extra factor 2 in equation (7) in Williams's paper which appears to be an error.)
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 3 , July 1965 , pp. 695 - 696
- Copyright
- Copyright © Cambridge Philosophical Society 1965
References
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