ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
Summer 2002, Volume 32, Number 2
CONTENTS
Parabolic Wavelet Transforms and Lebesgue Spaces of Parabolic
Potentials
By Ilham A. Aliev and Boris Rubin
A Multi-Index Borel-Dzrbashjan Transform
By F. Al-Musallam, V. Kiryakova and V. Kim Tuan
Some
-Orthogonal Polynomials and Related Hankel Determinants
By G. Andrews and J. Wimp
On Sampling Associated with Singular Sturm-Liouville Eigenvalue Problems: The Limit-Circle Case
By M. H. Annaby and P. L. Butzer
Orthogonal Polynomials with Respect to a Differential Operator. Existence and Uniqueness
By A.I. Aptekarev, G.T. López Lagomasino and F. Marcellán
Algebra of Differential Forms with Exterior Differential
in Dimensions One and Two
By N. Bazunova
From Non-Hermitian Oscillator-Like Operators to Freud Polynomials and Some Consequences
By J. Beckers and N. Debergh
Pick Functions Related to the Gamma Function
By Christian Berg and Henrik L. Pedersen
Linear Rational Interpolation and its Application in Approximation and Boundary Value Problems
By Jean-Paul Berrut and Hans D. Mittelmann
Dirichlet Splines as Fractional Integrals of
-Splines
By Wolfgang Zu Castell
Inversion Techniques and Combinatorial Identities: Balanced Hypergeometric Series
By Chu Wenchang
A Non-Automatic (!) Application of Gosper's Algorithm Evaluates a Determinant from Tiling Enumeration
By M. Ciucu and C. Krattenthaler
Partial Differential Equations Satisfied by Polynomials which Have a Product Formula
By William C. Connett and Alan L. Schwartz
Elliptic Beta Integrals and Modular Hypergeometric Sums: An Overview
By J.F. van Diejen and V.P. Spiridonov
An Inverse to the Askey-Wilson Operator
By Mourad E.H. Ismail and Mizan Rahman
A Fourth Order
-Difference Equation for Associated Discrete
-Orthogonal Polynomials
By Mourad E.H. Ismail and Plamen Simeonov
Generalized Umemura Polynomials
By Anatol N. Kirillov and Makoto Taneda
Transmutation Kernels for the Little
-Jacobi Function Transform
By Erik Koelink and Hjalmar Rosengren
Division Problem of Moment Functionals
By J.H. Lee and K.H. Kwon
A New
Extension of Ramanujan's
Summation with Applications to Multilateral
Series
By Stephen C. Milne and Michael Schlosser
Multiple Gamma Function, its
- and Elliptic Analogue
By Michitomo Nishizawa
Numerical Calculation of the Generalized Sine and Cosine Integral
By K.-D. Reinsch, R. Bulirsch and U. Puschmann
Leonard Pairs from 24 Points of View
By Paul Terwilliger
Inversion of the Dunkl Intertwining Operator and its Dual Using Dunkl Wavelets
By Khalifa Trimèche
A Generalization of Kummer's Identity
By Raimundas Vidunas