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The Hadamard product of series with Stirling numbers of the second kind and other special numbers

Khristo N. Boyadzhiev, Robert Frontczak

Electronic Journal of Mathematics · 2022

doi:10.47443/ejm.2022.024 (opens in a new tab)

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Abstract

We evaluate in closed form a number of power series where the coefficients are products of Stirling numbers of the second kind and other special numbers or polynomials.The results include harmonic, hyperharmonic, derangement, Cauchy, Catalan numbers, zeta values, and also Bernoulli, Euler, and Laguerre polynomials.

Abstract licence: CC BY

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