Mathematics – Number Theory
Scientific paper
2010-06-13
Mathematics
Number Theory
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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