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The integral representation of the Hadamard product of two functions is usedto prove several Euler-type series transformation formulas. As applications weobtain three binomial identities involving harmonic numbers and an identity forthe Laguerre polynomials. We also evaluate in a closed form certain powerseries with harmonic numbers

Series Transformation Formulas of Euler Type, Hadamard Product of Functions, and Harmonic Number Identities