Series with Hermite Polynomials and Harmonic Numbers

Mathematics – Number Theory

Scientific paper

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11 pages

Scientific paper

We obtain a series transformation formula involving the classical Hermite polynomials. We then provide a number of applications using appropriate binomial transformations. Several of the new series involve Hermite polynomials and Harmonic numbers. We also obtain a series involving both Hermite and Laguerre polynomials, and a series with Hermite polynomials and Stirling numbers of the second kind.

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