Inversion of bilateral basic hypergeometric series
Classical Analysis and ODEs
2007-05-23 v1 Combinatorics
Abstract
We present a new matrix inverse with applications in the theory of bilateral basic hypergeometric series. Our matrix inversion result is directly extracted from an instance of Bailey's very-well-poised 6-psi-6 summation theorem, and involves two infinite matrices which are not lower-triangular. We combine our bilateral matrix inverse with known basic hypergeometric summation theorems to derive, via inverse relations, several new identities for bilateral basic hypergeometric series.
Cite
@article{arxiv.math/0206032,
title = {Inversion of bilateral basic hypergeometric series},
author = {Michael Schlosser},
journal= {arXiv preprint arXiv:math/0206032},
year = {2007}
}
Comments
AMS-LaTeX, 23 pages