Topic #8 --------------- OP-SF NET --------------- February 9, 1995 ~~~~~~~~~ From: OP-SF Net EditorSubject: Continuation of the three-volume Vilenkin-Klimyk book As a continuation of the three-volume book "Representation of Lie Groups and Special Functions" by N. Ja. Vilenkin and A.U. Klimyk (Kluwer, 1991-93), the two authors (the first of whom died) have published now a one-volume continuation which describes some new directions and results within the theme of their earlier book: N. Ja. Vilenkin and A.U. Klimyk "Representation of Lie Groups and Special Functions, Recent Advances" Kluwer Academic Publishers Dordrecht, 1995 It consists of six chapters: Chapter 1: h-Harmonic polynomials, h-Hankel transform, and Coxeter groups Chapter 2: Symmetric polynomials and symmetric functions Chapter 3: Hypergeometric functions related to Jack polynomials Chapter 4: Clebsch-Gordan coefficients and Racah coefficients of finite dimensional representations Chapter 5: Clebsch-Gordan coefficients of the group U(n) and related generalizations of hypergeometric functions Chapter 6: Gel'fand hypergeometric functions