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arXiv · 1710.00687

Series with Hermite Polynomials and Applications

Khristo N. Boyadzhiev·Ayhan Dil
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Abstract

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, Lucas sequences, exponential and geometric 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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Khristo N. Boyadzhiev, Ayhan Dil. 2017-09-29. Series with Hermite Polynomials and Applications. https://doi.org/10.5486/pmd.2012.5072

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