Journal of Computational and Applied Mathematics 1996: Vol 68 Table of Contents

2 Pages·1996·0.28 MB·English

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
VOLUME 68, 22 APRIL 1996
g-Series
CONTENTS
M.E.H. Ismail and D.R. Masson
Preface
K. Alladi
The quintuple product identity and shifted partition functions
G.E. Andrews
Pfaff’s method (Il): diverse applications 1S
R.A. Askey, M. Rahman and S.K. Suslov
On a general g-Fourier transformation with nonsymmetric kernels 25
R. Floreanini and L. Vinet
q-Gamma and q-beta functions in quantum algebra representation theory 57
P.G.A. Floris
A noncommutative discrete hypergroup associated with q-disk polynomials 69
D. Foata and D. Zeilberger
Graphical major indices 79
F.A. Gruinbaum and L. Haine
The g-version of a theorem of Bochner 103
D.P. Gupta, M.E.H. Ismail and D.R. Masson
Contiguous relations, basic hypergeometric functions, and orthogonal polynomials. Ill. Asso-
ciated continuous dual g-Hahn polynomials 115
R.A. Gustafson and C. Krattenthaler
Heine transformations for a new kind of basic hypergeometric series in U(n) 151
G.-N. Han
Une démonstration “vérificative” d’un résultat de Foata—Zeilberger sur les relations bipartition-
naires 159
M.E.H. Ismail, M. Rahman and R. Zhang
Diagonalization of certain integral operators II 163
E.G. Kalnins and W. Miller Jr.
A note on tensor products of g-algebra representations and orthogonal polynomials 197
H.T. Koelink
Yet another basic analogue of Graf's addition formula 209
A. Medrano, P. Myers, H.M. Stark and A. Terras
Finite analogues of Euclidean space 221
S.C. Milne and J.W. Newcomb
U(n) very-well-poised ,o¢. transformations 239
M. Rahman
Some generating functions for the associated Askey—Wilson polynomials 287
R. Simion and D. Stanton
Octabasic Laguerre polynomials and permutation statistics 297
Author Index 331