Reduction of the sum of the weighted equal powers to explicit combinatorial representation

The paper contains the proof of the statement that the component of the sum of weighted powers with natural bases and equal parameters, dependent on weight coefficients, is equal to the sum of products of binomial and weight coefficients. It is proved also, that the component of this sum, independen...

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Bibliographic Details
Main Author: Alexander I Nikonov
Format: Article
Language:English
Published: Samara State Technical University 2012-09-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
Online Access:https://journals.eco-vector.com/1991-8615/article/viewFile/20867/17126