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New nonlinear connection formulae of the q-orthogonal polynomials, suchcontinuous q-Laguerre, continuous big q-Hermite, q-Meixner-Pollaczek andq-Gegenbauer polynomials, in terms of their respective classical analogues areobtained using a special realization of the q-exponential function as infinitemultiplicative series of ordinary exponential function.

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