English

A generalization of Kawanaka's identity for Hall-Littlewood polynomials and applications

Combinatorics 2007-05-23 v2

Abstract

An infinite summation formula of Hall-Littlewood polynomials due to Kawanaka is generalized to a finite summation formula, which implies, as applications, twelve multiple q-identities of Rogers-Ramanujan type.

Keywords

Cite

@article{arxiv.math/0401252,
  title  = {A generalization of Kawanaka's identity for Hall-Littlewood polynomials and applications},
  author = {M. Ishikawa and F. Jouhet and J. Zeng},
  journal= {arXiv preprint arXiv:math/0401252},
  year   = {2007}
}

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21 pages