Geodesic
Sums of Powers and Special Polynomials
Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 2, pp. 275-283

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In this paper, we discuss sums of powers 1p + 2p + ... + np and compute both the exponential and ordinary generating functions for these sums. We express these generating functions in terms of exponential and geometric polynomials and also show their connection to other interesting series. In particular, we show their connection to an interesting problem of Ovidiu Furdui.
Keywords: sum of powers, exponential polynomial, geometric polynomial, generating function, harmonic numbers, exponential integral function 
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Boyadzhiev, Khristo N. Sums of Powers and Special Polynomials. Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 2, pp. 275-283. http://geodesic.mathdoc.fr/item/DMGAA_2020_40_2_a10/