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On the singular counterpart of Titchmarsh's self-reciprocal series

Published online by Cambridge University Press:  24 October 2008

A. E. Billington
A. E. Billington
Affiliation:
3 Park Crescent, Fairfield 3078, Victoria, Australia
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Extract

A result due to Titchmarsh(1) is that corresponding to the series

is the reciprocal formula

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 2 , September 1970 , pp. 427 - 438
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCE

(1)Titchmarsh, E. C.Reciprocal formulae involving series and integrals. Math. Z. 25 (1926), 321–327.CrossRefGoogle Scholar