Preprint Short Note Version 1 This version is not peer-reviewed

A Closed Form for the Stirling Polynomials in Terms of the Stirling Numbers

Feng Qi * ORCID logo and Bai-Ni Guo ORCID logo
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.

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Comments (2)

Comment 1
Received: 13 August 2017
Commenter: Feng Qi
Commenter's Conflict of Interests: I am the corresponding author of this paper.
Comment: This preprint has been formally accepted by Tbilisi Mathematical Journal for publication in 2018.
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Comment 2
Received: 20 April 2018
Commenter: Feng Qi (Click to see Publons profile: )
Commenter's Conflict of Interests: I am the first and corresponding author
Comment: This preprint has been formally published as

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
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