Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Some Computations between Sums of Powers of Consecutive Integers and Alternating Sums of Powers of Consecutive Integers

Version 1 : Received: 19 February 2018 / Approved: 19 February 2018 / Online: 19 February 2018 (14:18:47 CET)

A peer-reviewed article of this Preprint also exists.

Duran, U.; Acikgoz, M. Some Computations Between Sums of Powers of Consecutive Integers and Alternating Sums of Powers of Consecutive Integers. Journal of Universal Mathematics 2019, 2, 137–143, doi:10.33773/jum.519968. Duran, U.; Acikgoz, M. Some Computations Between Sums of Powers of Consecutive Integers and Alternating Sums of Powers of Consecutive Integers. Journal of Universal Mathematics 2019, 2, 137–143, doi:10.33773/jum.519968.

Abstract

We study on the sums of powers of consequtive integers and alternating sums of power of consequtive integers. We derive many identities and correlations including Bernoulli, Euler and Genocchi polynomials and numbers.

Keywords

numbers and polynomials; Bernoulli numbers and polynomials; Genocchi numbers and polynomials; power sums

Subject

Computer Science and Mathematics, Algebra and Number Theory

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