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On certain Schlömilch-type series

✍ Scribed by Allen R. Miller

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 781 KB
Volume: 80
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(97)00013-7

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✦ Synopsis

USitig 8 form of the Poisson summation formula together with a generalization due to Srivastava and Exton of the discottfirtusnt~ integral of Weber and Schatheitlin and the (heretofore not readily available) cosine transform of the hypergeometric function #a[-b2t2] (b > 0), several new Schliimilch and Fourier-type series are evaluated. By specialization of the latter series numerous results appearing in the literature are obtained in a unified way.

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