New connection formulae for some q-orthogonal polynomials in q-Askey scheme
High Energy Physics - Theory
2009-11-13 v1 Mathematical Physics
math.MP
Abstract
New nonlinear connection formulae of the q-orthogonal polynomials, such continuous q-Laguerre, continuous big q-Hermite, q-Meixner-Pollaczek and q-Gegenbauer polynomials, in terms of their respective classical analogues are obtained using a special realization of the q-exponential function as infinite multiplicative series of ordinary exponential function.
Keywords
Cite
@article{arxiv.0711.3408,
title = {New connection formulae for some q-orthogonal polynomials in q-Askey scheme},
author = {Abdelkader Yanallah and Mohammed Brahim Zahaf},
journal= {arXiv preprint arXiv:0711.3408},
year = {2009}
}