Proceedings of the international workshop, special functions : Hong Kong, 21-25 June 1999

Nonsmooth optimization covers the minimization or maximization of functions which do not have the differentiability properties required by classical methods. This book includes papers on theory, algorithms and applications for problems with fast-order nondifferentiability (the usual sense of nonsmooth optimization), second-order nondifferentiability, nonsmooth equations, nonsmooth variational inequalities and other problems related to nonsmooth optimization Integral representations of quasi hypergeometric functions, K. Aomoto; generating functions associated with dihedral groups, C.F. Dunkl; some relations for partitions into four squares, M.D. Hirschhorn and J.A. Sellers; on a nonlinear recurrence related to Nevai polynomials, D. Kaminski; the Brahmagupta matrix and its applications to tiling, R. Rangarajan and E.R. Suryanarayan; solitons and coulomb plasmas, similarity reductions and special functions, V.P. Spiridonov; orthogonal polynomials and their asymptotic behaviour, R. Wong; a product formula for Jacobi polynomials, Y. Xu. (Part contents) Special functions and q-series are currently very active areas of research which overlap with many other areas of mathematics, such as representation theory, classical and quantum groups, affine Lie algebras, number theory, harmonic analysis, and mathematical physics. This book presents the state-of-the-art of the subject and its applications. Special functions and q-series are very active areas of research which overlap with many other areas of mathematics, such as representation theory, classical and quantum groups, affine Lie algebras, number theory and harmonic analysis. This work presents the subject and its applications.