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Some Properties of the <i>q</i>-Hermite Polynomials

Some Properties of the <i>q</i>-Hermite Polynomials

Heine [ 7 , p. 93] gave the following representation for the Legendre Polynomial { P n (x)} ∞ n=o where f o,n = 1 and Szegö [ 7 , p. 96] generalized this result to the Ultraspherical Polynomial set ﹛ C n λ (x)﹜ ∞ n=o and obtained where