Pseudo <em>q</em>-Engel expansions and Rogers-Ramanujan type identities

Original Articles

Pseudo q-Engel expansions and Rogers-Ramanujan type identities

Published in: Quaestiones Mathematicae
Volume 35 , issue 1 , 2012 , pages: 23–33
DOI: 10.2989/16073606.2012.671164
Author(s): Helmut Prodinger Mathematics Department, South Africa

Abstract

Andrews, Knopfmacher and Knopfmacher have used the Schur polynomials to consider the celebrated Rogers-Ramanujan identities in the context of q-Engel expansions. We extend this view using similar polynomials, provided by Sills, in the context of Slater's list of 130 Rogers-Ramanujan type identities.

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