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Summing one- and two-dimensional series related to the Euler series

✍ Scribed by Odd Magne Ogreid; Per Osland

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 1002 KB
Volume: 98
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(98)00137-x

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✦ Synopsis

We present results for some infinite series appearing in Feynman diagram calculations, many of which are similar to the Euler series. These include both one-dimensional and two-dimensional series. Most of these series can be expressed in terms of ((2), ((3), the Catalan constant G and C12(~/3) where C12(0) is Clausen's function.

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