New connection formulae for the q-orthogonal polynomials via a series expansion of the q-exponential
R. Chakrabarti, R. Jagannathan, S. S. Naina Mohammed
Abstract
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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