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Basic Hypergeometric Series
Foreword Preface 1. Basic hypergeometric series 2. Summation, transformation, and expansion formulas 3. Additional summation, transformation, and expansion formulas 4. Basic contour integrals 5.… Expand
Summation, transformation, and expansion formulas for bibasic series
- G. Gasper
- Mathematics
- 1989
Etude des extensions a deux bases de la formule de transformation d'Euler et de la formule de developpement de Fields-Wimp. Etablissement d'une formule de transformation a quatre bases independantes,… Expand
Elementary derivations of summations and transformation formulas for q-series
- G. Gasper
- Mathematics
- 19 May 1996
We present some elementary derivations of summation and transformation formulas for q-series, which are different from, and in several cases simpler or shorter than, those presented in the Gasper and… Expand
Some systems of multivariable orthogonal q-Racah polynomials
In 1991 Tratnik derived two systems of multivariable orthogonal Racah polynomials and considered their limit cases. q-Extensions of these systems are derived, yielding systems of multivariable… Expand
Projection formulas for orthogonal polynomials of a discrete variable
- G. Gasper
- Mathematics
- 1974
have important applications to the theory of orthogonal polynomials. For most of the applications of (1.1) and (1.2) mentioned in these papers, one does not need to have explicit formulas for the… Expand
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