Several recursive and closed-form formulas for some specific values of partial Bell polynomials

Open Access

Original research article

Author(s):

Wei-Shih Du^a, Dongkyu Lim^b,c, Feng Qi^c,d,e

^a Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan.
^b Department of Mathematics Education, Andong National University, Andong 36729, Republic of Korea.
^c Corresponding author.
^d Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, Henan, China.
^e Independent Researcher, Dallas, TX 75252-8024, USA.

Advances in the Theory of Nonlinear Analysis and its Applications 6(4), 528-537.

Received: September 5, 2022

Accepted: September 29, 2022

Published: October 9, 2022

Abstract

In this paper, the authors derive several recursive and closed-form formulas for some specific values of partial Bell polynomials.

Keywords: Specific value, Partial Bell polynomial, Special sequence, Recursive formula, Closed-form formula, Gauss’ hypergeometric function, Open problem.

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APA Style

Du, W. S., Lım, D., & Qi, F. (2022). Several recursive and closed-form formulas for some specific values of partial Bell polynomials. Advances in the Theory of Nonlinear Analysis and its Application, 6(4), 528-537.