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2 results

2 - A Brief Review of q-Series
- By Mourad E.H. Ismail
Edited by Howard S. Cohl, Mourad E. H. Ismail, University of Central Florida
Book:

Lectures on Orthogonal Polynomials and Special Functions

Published online:

07 October 2020

Print publication:

15 October 2020, pp 76-130
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Summary

We sample certain results from the theory of q-series, including summation and transformation formulas, as well as some recent results which are not available in book form. Our approach is systematic and uses the Askey–Wilson calculus and Rodrigues-type formulas.

UNFOLDING THE DOUBLE SHUFFLE STRUCTURE OF $q$-MULTIPLE ZETA VALUES
Part of
JAIME CASTILLO-MEDINA, KURUSCH EBRAHIMI-FARD, DOMINIQUE MANCHON
Journal:

Bulletin of the Australian Mathematical Society / Volume 91 / Issue 3 / June 2015

Published online by Cambridge University Press:

24 April 2015, pp. 368-388

Print publication:

June 2015
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We exhibit the double $q$-shuffle structure for the $q$MZVs introduced by Ohno et al. [‘Cyclic $q$-MZSV sum’, J. Number Theory132 (2012), 144–155].