An elliptic incarnation of the Bailey chain

By V. Spiridonov. 2002

71 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Spectroscopy, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3b9c78c818ec03b8dd95b4d3f1ad669edc0ae9d2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. V. Spiridonov
2. S. Ole Warnaar
3. Jeremy Lovejoy
4. Hjalmar Rosengren

In Spectroscopy

1. S. Ole Warnaar
2. V. Spiridonov
3. Jeremy Lovejoy

In Statistical and Nonlinear Physics

1. S. Ole Warnaar
2. V. Spiridonov
3. Eric M. Rains
4. G. Vartanov

Citations in the corpus

• Inversions of integral operators and elliptic beta integrals on root systems (2004, background): “At the level of hypergeometric series — ordinary, basic or elliptic — the Bailey pair machinery allows for the derivation of infinite sequences of symmetry transformations [1, 2, 23, 27, 29].”
• Extensions of the well-poised and elliptic well-poised Bailey lemma (2003, background): “Shortly after [2] and [3] appeared, Spiridonov [19] pointed out that part of the programme carried out by Andrews and Berkovich can be formulated at the level of elliptic functions, leading to new results for elliptic or modular hypergeometric series.”
• Essays on the theory of elliptic hypergeometric functions (2008, methodology): “Indeed, there are limiting transitions from the elliptic hypergeometric identities involving s+1Vs-series to the q-hypergeometric relations such that there appear basic s+1φs-functions which do not obey one of the mentioned properties [35, 52].”
• A Bailey Tree for Integrals (2003, methodology): “A BAILEY TREE FOR INTEGRALS 5 In [3], only one Bailey lemma was established for elliptic hypergeometric series.”