Special Functions 2000: Current Perspective and Future Directions

Preface. Foreword. Bailey's transform, lemma, chains and tree; G.E. Andrews. Riemann-Hilbert problems for multiple orthogonal polynomials; W. Van Assche, et al. Flowers which we cannot yet see growing in Ramanujan's garden of hypergeometric series, elliptic functions and q's; B.C. Berndt. Orthogonal rational functions and continued fractions; A. Bultheel, et al. Orthogonal polynomials and reflection groups; C.F. Dunkl. The bispectral problem: an overview; F.A. Grünbaum. The Bochner-Krall problem: some new perspectives; L. Haine. Lectures on q-orthogonal polynomials; M.E.H. Ismail. The Askey-Wilson function transform scheme; E. Koelink, J.V. Stokman. Arithmetic of the partition function; K. Ono. The associated classical orthogonal polynomials; M. Rahman. Special functions defined by analytic difference equations; S.N.M. Ruijsenaars. The factorization method, self-similar potentials and quantum algebras; V.P. Spiridonov. Generalized eigenvalue problem and a new family of rational functions biorthogonal on elliptic grids; V.P. Spiridonov, A.S. Zhedanov. Orthogonal polynomials and combinatorics; D. Stanton. Basic exponential functions on a q-quadratic grid; S.K. Suslov. Projection operator method for quantum groups; V.N. Tolstoy. Uniform asymptotic expansions; R. Wong. Exponential asymptotics; R. Wong. Index.