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

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

Bibliographic Details
Main Authors: Wei-Shih Du, Dongkyu Lim, Feng Qi
Format: Article
Language:English
Published: ATNAA 2022-10-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/2632324
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author Wei-Shih Du
Dongkyu Lim
Feng Qi
author_facet Wei-Shih Du
Dongkyu Lim
Feng Qi
author_sort Wei-Shih Du
collection DOAJ
description In this paper, the authors derive several recursive and closed-form formulas for some specific values of partial Bell polynomials.
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spelling doaj.art-1665342650624c329e6da528b388b1312023-02-15T16:12:56ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482022-10-016452853710.31197/atnaa.1170948Several recursive and closed-form formulas for some specific values of partial Bell polynomialsWei-Shih DuDongkyu LimFeng QiIn this paper, the authors derive several recursive and closed-form formulas for some specific values of partial Bell polynomials. https://dergipark.org.tr/tr/download/article-file/2632324specific valuepartial bell polynomialspecial sequencerecursive formulaclosed-form formulagauss' hypergeometric functionopen problem
spellingShingle Wei-Shih Du
Dongkyu Lim
Feng Qi
Several recursive and closed-form formulas for some specific values of partial Bell polynomials
Advances in the Theory of Nonlinear Analysis and its Applications
specific value
partial bell polynomial
special sequence
recursive formula
closed-form formula
gauss' hypergeometric function
open problem
title Several recursive and closed-form formulas for some specific values of partial Bell polynomials
title_full Several recursive and closed-form formulas for some specific values of partial Bell polynomials
title_fullStr Several recursive and closed-form formulas for some specific values of partial Bell polynomials
title_full_unstemmed Several recursive and closed-form formulas for some specific values of partial Bell polynomials
title_short Several recursive and closed-form formulas for some specific values of partial Bell polynomials
title_sort several recursive and closed form formulas for some specific values of partial bell polynomials
topic specific value
partial bell polynomial
special sequence
recursive formula
closed-form formula
gauss' hypergeometric function
open problem
url https://dergipark.org.tr/tr/download/article-file/2632324
work_keys_str_mv AT weishihdu severalrecursiveandclosedformformulasforsomespecificvaluesofpartialbellpolynomials
AT dongkyulim severalrecursiveandclosedformformulasforsomespecificvaluesofpartialbellpolynomials
AT fengqi severalrecursiveandclosedformformulasforsomespecificvaluesofpartialbellpolynomials