T A B L E   O F   C O N T E N T S

Preface v

Integral Representations of Quasi Hypergeometric Functions
   K. Aomoto 1

Combinatorics of Crystals for Tensor and Spinor Representations of U_q(B_n)
   T. H. Baker 16

On Infinitely Divisible Solutions to Indeterminate Moment Problems
   C. Berg 31

Generating Orthogonal Polynomials for Exponential Weights on a Finite Interval
   R. C. Y. Chin and D. Ridzal 42

Spherical Multipliers and Spherical Multiplier Transformations
   H. Ding 57

Generating Functions Associated with Dihedral Groups
   C. F. Dunkl 72

Existence of Approximate Identities in Maximal Ideals of Hypergroup-Algebras
   F. Filbir 88

Zeros of Jacobi Polynomials with Varying Non-Classical Parameters
   A. Martínez-Finkelshtein, P. Martínez-González and R. Orive 98

Asymptotic Behavior of Eigenfunctions for the Hecke Algebra on Homogeneous Trees
   P. Gérardin and K. F. Lai 114

Some Relations for Partitions into Four Squares
   M. D. Hirschhorn and J. A. Sellers 118

Algebraic Aspects of Quantum Calogero Models
   S. Kakei and Y. Kato 125

Special Functions and Perturbations of Black Holes
   E. G. Kalnins, W. Miller Jr., G. F. Torres Del Castillo and G. C. Williams 140

On a Nonlinear Recurrence Related to Nevai Polynomials
   D. Kaminski 152

Inversion Formulas Involving Orthogonal Polynomials and Some of Their Applications
   R. Koekoek 166

Bochner-Krall Orthogonal Polynomials
   K. H. Kwon, G. J. Yoon and L. L. Littlejohn 181

Orthogonal Expansions for L^p- and C-Spaces
   R. Lasser and J. Obermaier 194

The DLMF Project: A New Initiative in Classical Special Functions
   D. W. Lozier 207

Resurgence in Difference Equations, with an Application to Legendre Functions
   F. W. J. Olver 221

On Exorcising Secular Terms
   R. E. O'Malley Jr. 236

New Asymptotic Formulas for the Riemann Zeta Function on the Critical Line
   R. B. Paris 247

A q-Analogue of a Product Formula of Bailey and Related Results
   M. Rahman 262

The Brahmagupta Matrix and its Applications to Tiling
   R. Rangarajan and E. R. Suryanarayan 282

Elliptic Integrals of the First and Second Kind - Comparison of Bulirsch's and Carlson's Algorithms for Numerical Calculation
   K.-D. Reinsch and W. Raab 293

Short-Time Estimates for Heat Kernels Associated with Root Systems
   M. Rösler 309

Solitons and Coulomb Plasmas, Similarity Reductions and Special Functions
   V. P. Spiridonov 324

The Role of Hermite Polynomials in Asymptotic Analysis
   N. M. Temme and J. L. López 339

Statistics of Graph Spectra for Some Finite Matrix Groups: Finite Quantum Chaos
   A. Terras 351

Convolution Semigroups and Calderón's Formula for Compact K-Variable Continuous Polynomial Hypergroups
   K. Trimèche 375

Rodrigues Formulas for Nonsymmetric Multivariable Polynomials Associated with Quantum Integrable Systems of Calogero-Sutherland Type
   H. Ujino and A. Nishino 394

Orthogonal Polynomials and Their Asymptotic Behavior
   R. Wong 409

A Product Formula for Jacobi Polynomials
   Y. Xu 423

Schur Functions and Two Realizations of the Basic A₁⁽¹⁾-Module
   H.-F. Yamada 431

Preface	v
Integral Representations of Quasi Hypergeometric Functions K. Aomoto	1
Combinatorics of Crystals for Tensor and Spinor Representations of U_q(B_n) T. H. Baker	16
On Infinitely Divisible Solutions to Indeterminate Moment Problems C. Berg	31
Generating Orthogonal Polynomials for Exponential Weights on a Finite Interval R. C. Y. Chin and D. Ridzal	42
Spherical Multipliers and Spherical Multiplier Transformations H. Ding	57
Generating Functions Associated with Dihedral Groups C. F. Dunkl	72
Existence of Approximate Identities in Maximal Ideals of Hypergroup-Algebras F. Filbir	88
Zeros of Jacobi Polynomials with Varying Non-Classical Parameters A. Martínez-Finkelshtein, P. Martínez-González and R. Orive	98
Asymptotic Behavior of Eigenfunctions for the Hecke Algebra on Homogeneous Trees P. Gérardin and K. F. Lai	114
Some Relations for Partitions into Four Squares M. D. Hirschhorn and J. A. Sellers	118
Algebraic Aspects of Quantum Calogero Models S. Kakei and Y. Kato	125
Special Functions and Perturbations of Black Holes E. G. Kalnins, W. Miller Jr., G. F. Torres Del Castillo and G. C. Williams	140
On a Nonlinear Recurrence Related to Nevai Polynomials D. Kaminski	152
Inversion Formulas Involving Orthogonal Polynomials and Some of Their Applications R. Koekoek	166
Bochner-Krall Orthogonal Polynomials K. H. Kwon, G. J. Yoon and L. L. Littlejohn	181
Orthogonal Expansions for L^p- and C-Spaces R. Lasser and J. Obermaier	194
The DLMF Project: A New Initiative in Classical Special Functions D. W. Lozier	207
Resurgence in Difference Equations, with an Application to Legendre Functions F. W. J. Olver	221
On Exorcising Secular Terms R. E. O'Malley Jr.	236
New Asymptotic Formulas for the Riemann Zeta Function on the Critical Line R. B. Paris	247
A q-Analogue of a Product Formula of Bailey and Related Results M. Rahman	262
The Brahmagupta Matrix and its Applications to Tiling R. Rangarajan and E. R. Suryanarayan	282
Elliptic Integrals of the First and Second Kind - Comparison of Bulirsch's and Carlson's Algorithms for Numerical Calculation K.-D. Reinsch and W. Raab	293
Short-Time Estimates for Heat Kernels Associated with Root Systems M. Rösler	309
Solitons and Coulomb Plasmas, Similarity Reductions and Special Functions V. P. Spiridonov	324
The Role of Hermite Polynomials in Asymptotic Analysis N. M. Temme and J. L. López	339
Statistics of Graph Spectra for Some Finite Matrix Groups: Finite Quantum Chaos A. Terras	351
Convolution Semigroups and Calderón's Formula for Compact K-Variable Continuous Polynomial Hypergroups K. Trimèche	375
Rodrigues Formulas for Nonsymmetric Multivariable Polynomials Associated with Quantum Integrable Systems of Calogero-Sutherland Type H. Ujino and A. Nishino	394
Orthogonal Polynomials and Their Asymptotic Behavior R. Wong	409
A Product Formula for Jacobi Polynomials Y. Xu	423
Schur Functions and Two Realizations of the Basic A₁⁽¹⁾-Module H.-F. Yamada	431