Representations of Various Power Sums

IF 1.1 3区数学 Q1 MATHEMATICS

Results in Mathematics Pub Date : 2024-06-16 DOI:10.1007/s00025-024-02190-8

Bikash Chakraborty, Raymond Mortini

引用次数: 0

Abstract

We give new representations of various power sums, including the signed/alternating sum of powers of consecutive integers as well as odd numbers. The generalized Eulerian power sums \(E_{n,m}(z):=\sum _{k=1}^n k^mz^k\) are also considered.

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各种幂和的表示方法

我们给出了各种幂和的新表示，包括连续整数和奇数幂和的有符号/交替和。我们还考虑了广义欧拉幂和（E_{n,m}(z):=/sum _{k=1}^n k^mz^k\ ）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Results in Mathematics 数学-数学

CiteScore

1.90

自引率

4.50%

发文量

198

审稿时长

6-12 weeks

期刊介绍： Results in Mathematics (RM) publishes mainly research papers in all fields of pure and applied mathematics. In addition, it publishes summaries of any mathematical field and surveys of any mathematical subject provided they are designed to advance some recent mathematical development.