Includes bibliographical references.

Science fiction and Macdonald's polynomials ; On the expansion of elliptic functions and applications ; Generalized hypergeometric functions-Classification of identities and explicit rational approximations ; Tensor products of superalgebras and series identities. I ; Racah polynomials for C type root systems ; Intertwining operators of type _N ; Symmetries and continuous orthogonal polynomials ; Addition theorems for spherical polynomials on a family of quantum spheres ; On a analogue of the string equation and a generalization of the classical orthogonal polynomials ; The Bessel function on a quadratic grid ; Three statistics on lattice paths ; Quantum Grothendieck polynomials ; difference raising operators for Macdonald polynomials and the integrality of transition coefficients ; Great powers of calculus ; special functions: Differential-difference equations, roots of unity, and all that ; On algebras of creation and annihilation operators