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ar X iv :0 80 7. 05 67 v1 [ he p- th ] 3 J ul 2 00 8 DESY 08–090 ISSN 0418-9833 July 2008 Towards all-order Laurent expansion of generalized hypergeometric functions around…

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Introductionberndt/articles/... · 2009. 8. 26. · In his famous paper [37], [38, pp. 36–38], Ramanujan recorded 17 hypergeometric-like series representations for 1/π. Proofs Documents

Abstract. Using certain representations for Eisenstein series, we uniformly derive several Ramanujan- type series for 1/π. Key Words: Eisenstein series, theta-functions,

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On a New Summation Formula for 22 Basic Bilateral ...downloads.hindawi.com/journals/ijmms/2011/132081.pdf · We have obtained a new summation formula for 2ψ2 bilateral basic hypergeometric Documents

Hindawi Publishing Corporation International Journal of Mathematics and Mathematical Sciences Volume 2011, Article ID 132081, 7 pages doi:10.11552011132081 Research Article…

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On the Analyticity of Laguerre Series Ernst Joachim Weniger Institut für Physikalische und Theoretische Chemie Universität Regensburg D-93040 Regensburg Germany Abstract…

JHEP 031P 0107 - Baylor University2007)040 are suﬃcient for parametrizing the coeﬃcients of the ε-expansion of some, but not all,1 hypergeometric functions [18]. In some particular Documents

J H E P 0 2 ( 2 0 0 7 ) 0 4 0 Published by Institute of Physics Publishing for SISSA Received: January 10, 2007 Accepted: January 24, 2007 Published: February 13, 2007 All…

GAUSSIAN HYPERGEOMETRIC SERIES AND EXTENSIONS OF SUPERCONGRUENCES ROBERT OSBURN AND CARSTEN SCHNEIDER Abstract. Let p be an odd prime. The purpose of this paper is to reﬂne meth Documents

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Search results for WELL-POISED HYPERGEOMETRIC SERVICE FOR ... that were conjecturally Q-linear forms in odd/even zeta values depending on parity of k(see [VaD]). D. Vasilyev [VaD] required several clever