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Abstract: We obtain a series transformation formula involving the classical Hermitepolynomials. We then provide a number of applications using appropriatebinomial transformations. Several of the new series involve Hermite polynomialsand Harmonic numbers. We also obtain a series involving both Hermite andLaguerre polynomials, and a series with Hermite polynomials and Stirlingnumbers of the second kind.



Autor: Khristo N. Boyadzhiev

Fuente: https://arxiv.org/







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