THE ASKEY-SCHEME OF HYPERGEOMETRIC ORTHOGONAL POLYNOMIALS AND ITS Q-ANALOGUE

By BARBARA WILLIAMS

CONTENTS DEFINITIONS AND MISCELLANEOUS FORMULAS ASKEY-SCHEME OF HYPERGEOMETRIC ORTHOGONAL POLYNOMIALS 1 HYPERGEOMETRIC ORTHOGONAL POLYNOMIALS 2 LIMIT RELATIONS BETWEEN HYPERGEOMETRIC ORTHOGONAL POLYNOMIALS 3 BASIC HYPERGEOMETRIC ORTHOGONAL POLYNOMIALS 4 LIMIT RELATIONS BETWEEN BASIC HYPERGEOMETRIC ORTHOGONAL POLYNOMIALS 5 FROM BASIC TO CLASSICAL HYPERGEOMETRIC ORTHOGONAL POLYNOMIALS