A~Bailey Tree for Integrals
Teoretičeskaâ i matematičeskaâ fizika, Tome 139 (2004) no. 1, pp. 104-111
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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.
@article{TMF_2004_139_1_a7,
author = {V. P. Spiridonov},
title = {A~Bailey {Tree} for {Integrals}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {104--111},
publisher = {mathdoc},
volume = {139},
number = {1},
year = {2004},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2004_139_1_a7/}
}
V. P. Spiridonov. A~Bailey Tree for Integrals. Teoretičeskaâ i matematičeskaâ fizika, Tome 139 (2004) no. 1, pp. 104-111. http://geodesic.mathdoc.fr/item/TMF_2004_139_1_a7/