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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 8, Pages 31–44
DOI: https://doi.org/10.26907/0021-3446-2019-8-31-44 (Mi ivm9490) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On some generalizations of sum of powers of natural numbers

A. K. Svinin, S. V. Svinina

Matrosov Institute for System Dynamics and Control Theory Siberian Branch of Russian Academy of Sciences, 134 Lermontov str., Irkutsk, 664033 Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-8-31-44
Abstract: In this paper we consider some generalizations of the sum of powers of natural numbers. In particular, we study the class of sums whose generating function is the power of the generating function for the classical sums of powers. We also consider the so-called binomial sums and solve the problem of constructing polynomials that allow to calculate the values of the corresponding sums in certain cases.
Keywords: sums of powers of natural numbers, Bernoulli numbers, Genocchi numbers, Gandhi polynomials.
Received: 14.06.2018
Revised: 14.06.2018
Accepted: 26.09.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 8, Pages 25–37
DOI: https://doi.org/10.3103/S1066369X19080048
Bibliographic databases:
Document Type: Article
UDC: 519.101:511.218
Language: Russian
Citation: A. K. Svinin, S. V. Svinina, “On some generalizations of sum of powers of natural numbers”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 8, 31–44; Russian Math. (Iz. VUZ), 63:8 (2019), 25–37
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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