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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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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2012, Issue 1(26), Pages 223–232
DOI: https://doi.org/10.14498/vsgtu1016 (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
Full-text PDF (608 kB) Citations (2)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1016
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.
Original article submitted 07/XI/2011
revision submitted – 27/XII/2011
Bibliographic databases:
Document Type: Article
UDC: 512.14
MSC: 05A10
Language: Russian
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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  • https://www.mathnet.ru/eng/vsgtu/v126/p223
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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