A Kind of Identities Involving Complete Bell Polynomials

YANG Ji-zhen, WANG Yun-peng

doi:10.13371/j.cnki.chin.q.j.m.2017.04.008

Chinese Quarterly Journal of Mathematics >

2017 , Vol. 32 >Issue 4: 415 - 424

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.04.008

A Kind of Identities Involving Complete Bell Polynomials

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Department of Mathematics, Luoyang Normal College. Department of Mathematics and Physical, Luoyang Institute of Science and Technology

YANG Ji-zhen(1984-), female, native of Luoyang, Henan, a lecturer of Luoyang Normal College, master of science, engages in Combinatorial mathematics; WANG Yun-peng(1981-), male, native of Yingkou, Liaoning, a lecturer of Luoyang Institute of Science and Technology, M.S.D. engages in Combinatorial mathematics.

Received date: 2015-09-28

Online published: 2020-10-20

Supported by

Supported by the National Natural Science Foundation of China(Grant No.11601543,No.11601216,11701257)； Supported by the NSF of Henan Province under Grant(No.172102410069)； Supported by the NSF of Education Bureau of Henan Province under Grant(No.16B110009,18A110025)； Supported by the Youth Foundation of Luoyang Normal university under Grant(No.2013-QNJJ-001)；

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Abstract

The purpose of this paper is to establish a formula of higher derivative by Faà di Bruno formula, and apply it to some known results to get some identities involving complete Bell polynomials.

Key words： Faa` di Bruno formula; complete Bell polynomials; higher derivative

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YANG Ji-zhen, WANG Yun-peng . A Kind of Identities Involving Complete Bell Polynomials[J]. Chinese Quarterly Journal of Mathematics, 2017 , 32(4) : 415 -424 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.04.008

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