Generalized power sum and Newton-Girard identities

2020/04/30 by Sudip Bera, Bera, Sudip, Sajal Kumar Mukherjee +1
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.2004.14590

6 pages, 0 figure

arxiv created 2020/04/30 · arxiv updated 2020/05/01

Abstract

In this article we prove an algebraic identity which significantly generalizes the formula for sum of powers of consecutive integers involving Stirling numbers of the second kind. Also we have obtained a generalization of Newton-Girard power sum identity.

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