Volume 13, Issue 1-3 | The Ramanujan Journal

The Ramanujan Journal

An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan

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Volume 13, Issue 1-3

June 2007

Askey Special Issues

Issue Editors:

George E. Andrews,
George Gasper,
Sergei Suslov

23 articles in this issue

Preface
George E. Andrews
George Gasper
Sergei Suslov
OriginalPaper Pages: 5 - 6
On the number of primitive representations of integers as sums of squares
Shaun Cooper
Michael Hirschhorn
OriginalPaper Pages: 7 - 25
A reciprocity theorem for certain q-series found in Ramanujan’s lost notebook
Bruce C. Berndt
Song Heng Chan
Ae Ja Yee
OriginalPaper Pages: 27 - 37
Tridiagonal pairs and the quantum affine algebra \({\boldmath U_q({\widehat {sl}}_2)}\)
Tatsuro Ito
Paul Terwilliger
OriginalPaper Pages: 39 - 62
On the dynamics of certain recurrence relations
D. Borwein
J. Borwein
R. Mayer
OriginalPaper Pages: 63 - 101
Bieberbach’s conjecture, the de Branges and Weinstein functions and the Askey-Gasper inequality
Wolfram Koepf
OriginalPaper Pages: 103 - 129
An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic)
Hjalmar Rosengren
OriginalPaper Pages: 131 - 166
The Pfaff/Cauchy derivative identities and Hurwitz type extensions
Warren P. Johnson
OriginalPaper Pages: 167 - 201
An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series
C. Krattenthaler
T. Rivoal
OriginalPaper Pages: 203 - 219
Pollaczek polynomials and hypergeometric representation
Wenchang Chu
OriginalPaper Pages: 221 - 225
Some curious q-series expansions and beta integral evaluations
George Gasper
Michael Schlosser
OriginalPaper Pages: 227 - 240
Primes in progressions to moduli with a large power factor
P. D. T. A. Elliott
OriginalPaper Pages: 241 - 251
Möbius transformations mapping the unit disk into itself
Lisa Lorentzen
OriginalPaper Pages: 253 - 263
Short proofs of the elliptic beta integrals
V. P. Spiridonov
OriginalPaper Pages: 265 - 283
Elliptic grids, rational functions, and the Padé interpolation
V. P. Spiridonov
A. S. Zhedanov
OriginalPaper Pages: 285 - 310
Carlitz and the general ₃φ₂
George E. Andrews
OriginalPaper Pages: 311 - 318
Spin Leonard pairs
Brian Curtin
OriginalPaper Pages: 319 - 332
On Kemnitz’ conjecture concerning lattice-points in the plane
Christian Reiher
OriginalPaper Pages: 333 - 337
Quadratic transformations for a function that generalizes ₂F₁ and the Askey-Wilson polynomials
S. N. M. Ruijsenaars
OriginalPaper Pages: 339 - 364
LU factorizations, q = 0 limits, and p-adic interpretations of some q-hypergeometric orthogonal polynomials
Tom H. Koornwinder
Uri Onn
OriginalPaper Pages: 365 - 387
Some systems of multivariable orthogonal q-Racah polynomials
George Gasper
Mizan Rahman
OriginalPaper Pages: 389 - 405
Method of separation of the variables for basic analogs of equations of mathematical physics
Kristine Ey
Andreas Ruffing
Sergei Suslov
OriginalPaper Pages: 407 - 447
Telescoping partial fractions decompositions, the little q-Jacobi functions of complex order, and the nonterminating q-Saalschütz sum
Kevin W. J. Kadell
OriginalPaper Pages: 449 - 469