Abstract
In a previous paper [4] we generalized the Rogers-Ramanujan identities by proving formulas for the Carlitz q-Fibonacci polynomials FnðtÞ which reduce to the finite version of the Rogers-Ramanujan identities obtained by I. SCHUR for t ¼ 1. The q-Fibonacci polynomials can be interpreted as the weight of a set of lattice paths in R 2 which are contained in the strip � 2 � y � 1. In this paper we extend these results to lattice paths contained in more general strips. We determine the recursions satisfied by the corresponding polynomials and derive identities of the Rogers-Ramanujan type which are related to some identities by KIRILLOV [6] and FODA and QUANO [5].
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