Some new transformations for Bailey pairs and WP-Bailey pairs

• Autorzy: James Mc Laughlin
• Języki publikacji: EN

Abstrakty

EN

We derive several new transformations relating WP-Bailey pairs. We also consider the corresponding transformations relating standard Bailey pairs, and as a consequence, derive some quite general expansions for products of theta functions which can also be expressed as certain types of Lambert series.

Słowa kluczowe

EN

Bailey pairs; WP-Bailey Chains; WP-Bailey pairs; Lambert Series; Basic Hypergeometric Series; q-series; Theta series

Kategorie tematyczne

• 05A19: Combinatorial identities, bijective combinatorics
• 11B65: Binomial coefficients; factorials; q -identities
• 33D15: Basic hypergeometric functions in one variable, r φ s

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 3
• Strony: 474-487

Daty

wydano

2010-06-01

online

2010-05-30

Twórcy

autor

James Mc Laughlin

• West Chester University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-010-0022-7