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ArticleOriginal scientific text

Title

Jordan numbers, Stirling numbers and sums of powers

Authors 1, 1, 1, 1, 1

Affiliations

  1. Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland

Abstract

In the paper a new combinatorical interpretation of the Jordan numbers is presented. Binomial type formulae connecting both kinds of numbers mentioned in the title are given. The decomposition of the product of polynomial of variable n into the sums of kth powers of consecutive integers from 1 to n is also studied.

Keywords

ENG
Bernoulli numbers, binomial coefficients, Jordan numbers, Stirling numbers, Živković numbers

Bibliography

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Discussiones Mathematicae - General Algebra and Applications
2014/34/2
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Pages:
155-166
Main language of publication
English
Received
2013-12-06
Accepted
2015-01-06
Published
2014

DOI: 10.7151/dmgaa.1225

Exact and natural sciences