A Bailey Tree for Integrals

By V. Spiridonov. 2003

58 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/afe75002c653040282229526ef6cedb4387aba74

How researchers see this paper

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

In Algebra and Number Theory

1. G. Vartanov
2. V. Spiridonov
3. S. Ole Warnaar
4. Eric M. Rains
5. Hjalmar Rosengren
6. Jeremy Lovejoy
7. Shlomo S. Razamat
8. Christian Krattenthaler

In Computational Theory and Mathematics

1. V. Spiridonov
2. G. Vartanov
3. S. Ole Warnaar
4. Eric M. Rains
5. Hjalmar Rosengren
6. Christian Krattenthaler
7. J. F. van Diejen

In Geometry and Topology

1. V. Spiridonov
2. G. Vartanov
3. S. Ole Warnaar
4. Abhijit Gadde
5. Y. Imamura
6. Shlomo S. Razamat
7. Wenbin Yan
8. N. Seiberg

Citations in the corpus

• Elliptic Hypergeometry of Supersymmetric Dualities (2009, methodology): “Is is expected that equalities of the superconformal indices for them are mere consequences of the so-called Bailey-type chains (forming a tree) of symmetry transformations for integrals discovered by the first author in [84] and extended in [93] to root systems.”
• Inversions of integral operators and elliptic beta integrals on root systems (2004, background): “[25] (on the basis of a transformation for univariate elliptic hypergeometric integrals proved in [24]).”