Iteration process for multiple Rogers-Ramanujan identities

  • W. Chu Hangzhou Normal Univ., Inst. Combinat. Math., China
  • C. Wang Nanjing Univ. Inform. Sci. and Technol., China

Abstract

Replacing the monomials by an arbitrary sequence in the recursive lemma found by Bressoud (1983), we establish several general transformation formulas from unilateral multiple basic hypergeometric series to bilateral univariate ones, which are then used for the derivation of numerous multiple series identities of Rogers-Ramanujan type.
Published
25.01.2012
How to Cite
ChuW., and WangC. “Iteration Process for Multiple Rogers-Ramanujan Identities”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, no. 1, Jan. 2012, pp. 100-25, http://umj.imath.kiev.ua/index.php/umj/article/view/2559.
Section
Research articles