<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this note, we provide bijective proofs of some recent identities involving Stirling numbers of the second kind, as previously requested. Our arguments also yield generalizations in terms of a well known q-Stirling number.</p></abstract>

In this note, we provide bijective proofs of some recent identities involving Stirling numbers of the second kind, as previously requested. Our arguments also yield generalizations in terms of a well known q-Stirling number.

Combinatorial proofs of some Stirling number formulas

Department of Mathematics University of Tennessee Knoxville, TN 37996 USA

Pure Mathematics and Applications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Combinatorial proofs of some Stirling number formulas"}

In this note, we provide bijective proofs of some recent identities involving Stirling numbers of the second kind, as previously requested. Our arguments also...

Combinatorial proofs of some Stirling number formulas

Publié en ligne: 07 oct. 2015

Pages: 107 - 113

Reçu: 29 juin 2014

DOI: https://doi.org/10.1515/puma-2015-0009

Mots clés
Stirling number, succession, set partition, combinatorial identity

© 2015

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Combinatorial proofs of some Stirling number formulas

Publié en ligne: 07 oct. 2015

Pages: 107 - 113

Reçu: 29 juin 2014

DOI: https://doi.org/10.1515/puma-2015-0009

Mots clésStirling number, succession, set partition, combinatorial identity

© 2015

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
Stirling number, succession, set partition, combinatorial identity