New connection formulae for some q-orthogonal polynomials in q-Askey scheme

Details New connection formulae for some q-orthogonal polynomials in q-Askey scheme New connection formulae for some q-orthogonal polynomials in q-Askey scheme

2007-11-21

arxiv.org/abs/0711.3408v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1088/1751-8113/41/8/085209

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.

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