Recurrences of Stirling and Lah numbers via second kind Bell polynomials

被引：0

作者：

Qi, Feng ^{[1
,2
,3
]}

Natalini, Pierpaolo ^{[4
]}

Ricci, Paolo Emilio ^{[5
]}

机构：

[1] Inner Mongolia Univ Nationalities, Coll Math & Phys, Tongliao 028043, Inner Mongolia, Peoples R China

[2] Henan Polytech Univ, Inst Math, Jiaozuo 454010, Henan, Peoples R China

[3] Tianjin Polytech Univ, Sch Math Sci, Tianjin 300387, Peoples R China

[4] Univ Roma Tre, Dipartimento Matemat & Fis, Largo San Leonardo Murialdo 1, I-00146 Rome, Italy

[5] Int Telemat Univ UniNetturio, Sez Matemat, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy

来源：

DISCRETE MATHEMATICS LETTERS | 2020年 / 3卷

关键词：

recurrence; Bell polynomial of the second kind; Stirling number; 1-associate Stirling number of the second kind; Lah number;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, by virtue of several explicit formulas for special values and a recurrence of the Bell polynomials of the second kind, the authors derive several recurrences for the Stirling numbers of the first and second kinds, for 1-associate Stirling numbers of the second kind, for the Lah numbers, and for the binomial coefficients.

引用

页码：31 / 36

页数：6

共 26 条

[1] An Explicit Formula for the Bell Numbers in Terms of the Lah and Stirling Numbers
Feng Qi
Mediterranean Journal of Mathematics, 2016, 13 : 2795 - 2800
[2] An Explicit Formula for the Bell Numbers in Terms of the Lah and Stirling Numbers
Qi, Feng
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (05) : 2795 - 2800
[3] The Multivariate Lah and Stirling Numbers
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JOURNAL OF INTEGER SEQUENCES, 2020, 23 (04)
[4] Explicit Formulas for Special Values of the Bell Polynomials of the Second Kind and for the Euler Numbers and Polynomials
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Bai-Ni Guo
Mediterranean Journal of Mathematics, 2017, 14
[5] CLOSED FORMULAS FOR SPECIAL BELL POLYNOMIALS BY STIRLING NUMBERS AND ASSOCIATE STIRLING NUMBERS
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Lim, Dongkyu
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[6] Explicit Formulas for Special Values of the Bell Polynomials of the Second Kind and for the Euler Numbers and Polynomials
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MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (03)
[7] Congruences for Stirling Numbers of the Second Kind
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[8] Bounds on the location of the maximum Stirling numbers of the second kind
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[9] NOTES ON TWO KINDS OF SPECIAL VALUES FOR THE BELL POLYNOMIALS OF THE SECOND KIND
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Lim, Dongkyu
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MISKOLC MATHEMATICAL NOTES, 2019, 20 (01) : 465 - 474
[10] Special values of the Bell polynomials of the second kind for some sequences and functions
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Niu, Da-Wei
Lim, Dongkyu
Yao, Yong-Hong
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 491 (02)

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