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Статья
2019

On Some Generalizations of Sum of Powers of Natural Numbers


A. K. SvininA. K. Svinin, S. V. SvininaS. V. Svinina
Русская математика
https://doi.org/10.3103/S1066369X19080048
Abstract / Full Text

In this paper we consider some generalizations of sums of powers of natural numbers. In particular, we study the class of sums whose generating function is a 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 which allow to calculate the values of the corresponding sums in certain cases.

Author information
  • Matrosov Institute for System Dynamics and Control Theory Siberian Branch of Russian Academy of Sciences, 134 Lermontov str., Irkutsk, 664033, RussiaA. K. Svinin & S. V. Svinina
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