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

Feng Qi; Bai-Ni Guo

doi:10.20944/preprints201703.0055.v1

Submitted:

10 March 2017

Posted:

10 March 2017

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

Feng Qi^*

,Bai-Ni Guo

Feng Qi^*

,Bai-Ni Guo

A peer-reviewed article of this preprint also exists.

Submitted:

10 March 2017

Posted:

10 March 2017

You are already at the latest version

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:

Computer Science and Mathematics - Analysis

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