Short Note
Version 1
This version is not peer-reviewed
A Closed Form for the Stirling Polynomials in Terms of the Stirling Numbers
Version 1
: Received: 10 March 2017 / Approved: 10 March 2017 / Online: 10 March 2017 (10:28:19 CET)
A peer-reviewed article of this Preprint also exists.
Qi, F.; Guo, B. A closed form for the Stirling polynomials in terms of the Stirling numbers. Tbilisi Mathematical Journal, 2017, 10, 153-158. Qi, F.; Guo, B. A closed form for the Stirling polynomials in terms of the Stirling numbers. Tbilisi Mathematical Journal, 2017, 10, 153-158.
Journal reference: Tbilisi Mathematical Journal 2017, 10, 153-158
DOI: 10.1515/tmj-2017-0053
Abstract
In the paper, by virtue of the Faá di Bruno formula and two identities for the Bell polynomial of the second kind, the authors find a closed form for the Stirling polynomials in terms of the Stirling numbers of the first and second kinds.
Subject Areas
closed form; Stirling polynomial; Stirling number; Bernoulli number; Faá di Bruno's formula; Bell polynomial
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Readers' Comments and Ratings (2)
Leave a public commentSend a private comment to the author(s)
Rate this article
Commenter: Feng Qi
Commenter's Conflict of Interests: I am the corresponding author of this paper.
Commenter: Feng Qi (Click to see Publons profile:
Commenter's Conflict of Interests: I am the first and corresponding author
Feng Qi and Bai-Ni Guo, A closed form for the Stirling polynomials in terms of the Stirling numbers, Tbilisi Mathematical Journal 10 (2017), no. 4, 153--158; Available online at https://doi.org/10.1515/tmj-2017-0053