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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.
Keywords
closed form; Stirling polynomial; Stirling number; Bernoulli number; Faá di Bruno's formula; Bell polynomial
Subject
MATHEMATICS & COMPUTER SCIENCE, Analysis
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.
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Commenter: Feng Qi
Commenter's Conflict of Interests: I am the corresponding author of this paper.
Commenter:
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