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

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