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A generalisation of the summation formula of Plana

Published online by Cambridge University Press:  17 April 2009

Clément Frappier
Clément Frappier
Affiliation:
Département de Mathématiques et de génie industriel, École Polytechnique, C.P. 6079 Succ. Centre-Ville, Montréal (P.Q.), Canada H3C 3A7 e-mail: clement.frappier@courrier.polymtl.ca
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Abstract

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An extension of the classical summation formula of Plana is obtained. The extension is obtained by using the zeros of a Bessel function of the first kind.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 2 , April 1999 , pp. 315 - 322
Copyright
Copyright © Australian Mathematical Society 1999

References

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