Series Transformation Formulas of Euler Type, Hadamard Product of Functions, and Harmonic Number Identities
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🧮 math.NT
math.CO
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harmonicseriesformulasfunctionshadamardidentitiesnumbersproduct
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The integral representation of the Hadamard product of two functions is used to prove several Euler-type series transformation formulas. As applications we obtain three binomial identities involving harmonic numbers and an identity for the Laguerre polynomials. We also evaluate in a closed form certain power series with harmonic numbers
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