一类包含有完全Bell多项式的恒等式

杨继真, 王云鹏

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

数学季刊 >

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

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

一类包含有完全Bell多项式的恒等式

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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.

收稿日期: 2015-09-28

网络出版日期: 2020-10-20

基金资助

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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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

Received date: 2015-09-28

Online published: 2020-10-20

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摘要

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.

关键词： Faa` di Bruno formula; complete Bell polynomials; higher derivative

本文引用格式

杨继真, 王云鹏 . 一类包含有完全Bell多项式的恒等式[J]. 数学季刊, 2017 , 32(4) : 415 -424 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.04.008

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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