<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

Published Online: Oct 07, 2015

Page range: 107 - 113

Received: Jun 29, 2014

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

Keywords
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

Published Online: Oct 07, 2015

Page range: 107 - 113

Received: Jun 29, 2014

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

KeywordsStirling number, succession, set partition, combinatorial identity

© 2015

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

Keywords
Stirling number, succession, set partition, combinatorial identity