An elliptic incarnation of the Bailey chain

International Mathematics Research Notices

Volumn , Issue 37, 2002, Pages 1945-1977

  Spiridonov, V P ^a  

^a MAX PLANCK INSTITUT FÜR MATHEMATIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036039842     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792802205127     Document Type: Article

References (55)

1. The Bailey lattice
2. Multiple series Rogers-Ramanujan type identities
3. Bailey's transform, lemma, chains and tree
4. Special functions
5. Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
6. A trinomial analogue of Bailey's lemma and N = 2 super-conformal invariance
7. Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
8. Some identities in combinatory analysis
9. Identities of the Rogers-Ramanujan type
10. The theory of the double gamma function
11. On the coefficient of capacity of two spheres
12. On the theory of the multiple gamma function
13. N = 2 supersymmetry and Bailey pairs
14. 9 transformations
15. Change of base in Bailey pairs
16. Some identities for terminating q-series
17. Exactly solvable SOS models: Local height probabilities and theta function identities
18. Exactly solvable SOS models. II. Proof of the star-triangle relation combinatorial identities
19. An SU(n) q-beta integral transformation and multiple hypergeometric series identities
20. An elliptic Macdonald-Morris conjecture and multiple modular hypergeometric sums
21. Elliptic Selberg integrals
22. Modular hypergeometric residue sums of elliptic Selberg integrals
23. The theory of Jacobi forms
24. 3
25. Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions
26. Basic hypergeometric series
27. General hypergeometric systems of equations and series of hypergeometric type
28. Elliptic genus of Calabi-Yau manifolds and Jacobi and Siegel modular forms
29. Contiguous relations, continued fractions and orthogonality
30. The basic gamma-function and the elliptic functions
31. Lectures on zeta functions and motives (according to Deninger and Kurokawa)
32. l Bailey transform and lemma
33. l Bailey transform and Bailey lemma
34. Projection formulas, a reproducing kernel and a generating function for q-Wilson polynomials
35. On identities of the Rogers-Ramanujan type
36. 9 rational functions
37. Classical biorthogonal rational functions
38. A proof of a multivariable elliptic summation formula conjectured by Warnaar
39. First order analytic difference equations and integrable quantum systems
40. A note on a transformation of Bailey
41. An elliptic beta integral
42. Elliptic beta integrals and special functions of hypergeometric type
43. On the elliptic beta function
44. Theta hypergeometric series
45. Classical biorthogonal rational functions on elliptic grids
46. Spectral transformation chains and some new biorthogonal rational functions
47. A note on the trinomial analogue of Bailey's lemma
48. Summation and transformation formulas for elliptic hypergeometric series
49. Orthogonal functions from Gram determinants
50. Periods of modular forms and Jacobi theta functions