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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2012, Issue 1(26), Pages 223–232 (Mi vsgtu1016)  

This article is cited in 2 scientific papers (total in 2 papers)

Calculus Mathematics

The update exposition of the components organising the sum of weighted equal powers

A. I. Nikonov

Samara State Technical University, Samara, Russia

Abstract: The sum of the weighted equal powers with natural bases and parameters is organized of components, which are independent or dependent on weight coefficients. Modification of components of the first aspect uses explicitly expressed products of binomial coefficients, and modification of components of the second aspect - products of binomial and weight coefficients. These visible expressions expand possibilities of representation of structure and an order of shaping of the considered sums.

Keywords: sum of the weighted equal powers, binomial and weight coefficients, product of binomial coefficients, product of binomial and weight coefficients, update expressions

DOI: https://doi.org/10.14498/vsgtu1016

Full text: PDF file (608 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

UDC: 512.14
MSC: 05A10
Original article submitted 07/XI/2011
revision submitted – 27/XII/2011

Citation: A. I. Nikonov, “The update exposition of the components organising the sum of weighted equal powers”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(26) (2012), 223–232

Citation in format AMSBIB
\Bibitem{Nik12}
\by A.~I.~Nikonov
\paper The update exposition of the components organising the sum of weighted equal powers
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 1(26)
\pages 223--232
\mathnet{http://mi.mathnet.ru/vsgtu1016}
\crossref{https://doi.org/10.14498/vsgtu1016}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. I. Nikonov, “Privedenie summy vzveshennykh odinakovykh stepenei k yavnomu kombinatornomu predstavleniyu”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 3(28) (2012), 163–169  mathnet  crossref  zmath
    2. A. I. Nikonov, “Ob odnom svoistve svobodnykh komponentov, otnosyaschikhsya k summam odinakovykh stepenei”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 3(36) (2014), 161–168  mathnet  crossref  zmath  elib
  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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