New connection formulae for the q-orthogonal polynomials via a series expansion of the q-exponential

Details New connection formulae for the q-orthogonal polynomials via a series expansion of the q-exponential New connection formulae for the q-orthogonal polynomials via a series expansion of the q-exponential

2006-07-12

arxiv.org/abs/math-ph/0607022v1

Physics

Mathematical Physics

14 pages

Scientific paper

10.1088/0305-4470/39/40/006

Using a realization of the q-exponential function as an infinite
multiplicative sereis of the ordinary exponential functions we obtain new
nonlinear connection formulae of the q-orthogonal polynomials such as
q-Hermite, q-Laguerre and q-Gegenbauer polynomials in terms of their respective
classical analogs.

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