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Generalized power sum and Newton-Girard identities

Combinatorics 2020-05-01 v1

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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Cite

@article{arxiv.2004.14590,
  title  = {Generalized power sum and Newton-Girard identities},
  author = {Sudip Bera and Sajal Kumar Mukherjee},
  journal= {arXiv preprint arXiv:2004.14590},
  year   = {2020}
}

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6 pages, 0 figure