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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 139, Number 1, Pages 104–111
DOI: https://doi.org/10.4213/tmf45 (Mi tmf45) 		 
This article is cited in 40 scientific papers (total in 40 papers)

A Bailey Tree for Integrals

V. P. Spiridonov

Joint Institute for Nuclear Research
Full-text PDF (196 kB) Citations (40)
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DOI: https://doi.org/10.4213/tmf45
Abstract: We introduce the notion of integral Bailey pairs. Using the single-variable elliptic beta integral, we construct an infinite binary tree of identities for elliptic hypergeometric integrals. Two particular sequences of identities are described explicitly.
Keywords: Bailey pairs, Bailey chains, Bailey tree, beta integrals, elliptic hypergeometric integrals.
English version:
Theoretical and Mathematical Physics, 2004, Volume 139, Issue 1, Pages 536–541
DOI: https://doi.org/10.1023/B:TAMP.0000022745.45082.18
Bibliographic databases:
Language: Russian
Citation: V. P. Spiridonov, “A Bailey Tree for Integrals”, TMF, 139:1 (2004), 104–111; Theoret. and Math. Phys., 139:1 (2004), 536–541
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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  • https://www.mathnet.ru/eng/tmf/v139/i1/p104
    • This publication is cited in the following 40 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :218
    References:82
    First page:1
     
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