Jordan numbers, Stirling numbers and sums of powers
Discussiones Mathematicae. General Algebra and Applications, Tome 34 (2014) no. 2, pp. 155-166
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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:
Bernoulli numbers, binomial coefficients, Jordan numbers, Stirling numbers, Živković numbers
@article{DMGAA_2014_34_2_a1,
author = {Witu{\l}a, Roman and Kaczmarek, Konrad and Lorenc, Piotr and Hetmaniok, Edyta and Pleszczy\'nski, Mariusz},
title = {Jordan numbers, {Stirling} numbers and sums of powers},
journal = {Discussiones Mathematicae. General Algebra and Applications},
pages = {155--166},
publisher = {mathdoc},
volume = {34},
number = {2},
year = {2014},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGAA_2014_34_2_a1/}
}
TY - JOUR AU - Wituła, Roman AU - Kaczmarek, Konrad AU - Lorenc, Piotr AU - Hetmaniok, Edyta AU - Pleszczyński, Mariusz TI - Jordan numbers, Stirling numbers and sums of powers JO - Discussiones Mathematicae. General Algebra and Applications PY - 2014 SP - 155 EP - 166 VL - 34 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DMGAA_2014_34_2_a1/ LA - en ID - DMGAA_2014_34_2_a1 ER -
%0 Journal Article %A Wituła, Roman %A Kaczmarek, Konrad %A Lorenc, Piotr %A Hetmaniok, Edyta %A Pleszczyński, Mariusz %T Jordan numbers, Stirling numbers and sums of powers %J Discussiones Mathematicae. General Algebra and Applications %D 2014 %P 155-166 %V 34 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/DMGAA_2014_34_2_a1/ %G en %F DMGAA_2014_34_2_a1
Wituła, Roman; Kaczmarek, Konrad; Lorenc, Piotr; Hetmaniok, Edyta; Pleszczyński, Mariusz. Jordan numbers, Stirling numbers and sums of powers. Discussiones Mathematicae. General Algebra and Applications, Tome 34 (2014) no. 2, pp. 155-166. http://geodesic.mathdoc.fr/item/DMGAA_2014_34_2_a1/