<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In the paper, the authors find several identities, including a new recurrence relation for the Stirling numbers of the first kind, involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers.</p></abstract>

In the paper, the authors find several identities, including a new recurrence relation for the Stirling numbers of the first kind, involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers.

Several identities involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers

Department of Mathematics, College of Science, Tianjin Polytechnic University,

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In the paper, the authors find several identities, including a new recurrence relation for the Stirling numbers of the first kind, involving the falling and...

Several identities involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers

Publié en ligne: 23 janv. 2017

Pages: 282 - 297

Reçu: 12 juin 2016

DOI: https://doi.org/10.1515/ausm-2016-0019

Mots clés
identity, Cauchy number, Lah number, Stirling number, falling factorial, rising factorial, Faà di Bruno formula

© 2016 Feng Qi et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Several identities involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers

Publié en ligne: 23 janv. 2017

Pages: 282 - 297

Reçu: 12 juin 2016

DOI: https://doi.org/10.1515/ausm-2016-0019

Mots clésidentity, Cauchy number, Lah number, Stirling number, falling factorial, rising factorial, Faà di Bruno formula

© 2016 Feng Qi et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
identity, Cauchy number, Lah number, Stirling number, falling factorial, rising factorial, Faà di Bruno formula