帮助 关于我们

返回检索结果

Nonlinear Inverse Relations of the Bell Polynomials via the Lagrange Inversion Formula (II)

查看参考文献17篇

Ma Xinrong 1   Wang Jin 2 *  
文摘 In this paper,by means of the classical Lagrange inversion formula,the authors establish a general nonlinear inverse relation as the solution to the problem proposed in the paper [J.Wang,Nonlinear inverse relations for the Bell polynomials via the Lagrange inversion formula,J.Integer Seq.,Vol.22 (2019),Article 19.3.8].As applications of this inverse relation,the authors not only find a short proof of another nonlinear inverse relation due to Birmajer,et al.(2012),but also set up a few convolution identities concerning the Mina polynomials.
来源 Journal of Systems Science and Complexity ,2023,36(1):96-116 【核心库】
DOI 10.1007/s11424-022-1300-8
关键词 Bell polynomial ; convolution identity ; formal power series ; Lagrange inversion formula ; Mina polynomial ; nonlinear inverse relation ; recurrence relation
地址

1. Department of Mathematics,Soochow University, Suzhou, 215006  

2. Department of Mathematics,Zhejiang Normal University, Jinhua, 321004

语种 英文
文献类型 研究性论文
ISSN 1009-6124
学科 数学
基金 国家自然科学基金 ;  浙江省自然科学基金
文献收藏号 CSCD:7551066

参考文献 共 17 共1页

1.  Henrici P. Applied and Computational Complex Analysis, Vol.1,1974 CSCD被引 2 次    
2.  Comtet L. Advanced Combinatorics,1974 CSCD被引 46 次    
3.  Wang J. Nonlinear inverse relations for Bell polynomials via the Lagrange inversion formula. J. Integer Seq,2019,22:Article 19.3.8 CSCD被引 1 次    
4.  Riordan J. Combinatorial Identities,1968 CSCD被引 15 次    
5.  Chou W S. Application of Faa di Bruno's formula in characterization of inverse relations. J. Comput. Appl. Math,2006,190:151-169 CSCD被引 3 次    
6.  Mihoubi M. Partial Bell polynomials and inverse relations. J. Integer Seq,2010,13:Article 10.4.5 CSCD被引 2 次    
7.  Birmajer D. Some convolution identities and an inverse relation involving partial Bell polynomials. Electron. J. Combin,2012,19:#P34 CSCD被引 1 次    
8.  Huang J F. Two Elementary Applications of the Lagrange Expansion Formula. J. Math. Res. Appl,2015,35:263-270 CSCD被引 2 次    
9.  Birmajer D. A family of Bell transformations. Discrete Math,2019,342:38-54 CSCD被引 1 次    
10.  He T X. One-pth Riordan Arrays in the Construction of Identities. J. Math. Res. Appli,2021,41:111-126 CSCD被引 2 次    
11.  Bell E T. Generalized Stirling transforms of sequences. Amer. J. Math,1940,62:717-724 CSCD被引 2 次    
12.  Gessel I M. Lagrange inversion. J. Combin. Theory Ser. A,2016,144:212-249 CSCD被引 3 次    
13.  Gould H W. Some generalizations of Vandermonde's convolution. Amer. Math. Monthly,1956,63:84-91 CSCD被引 5 次    
14.  Hofbauer J. Lagrange inversion. Sem. Lothar. Combin,1982,6:B06a CSCD被引 1 次    
15.  Merlini D. Lagrange inversion: When and how. Acta Appl. Math,2006,94:233-249 CSCD被引 7 次    
16.  Taghavian H. A fast algorithm for computing Bell polynomials based on index break-downs using prime factorization CSCD被引 1 次    
17.  Wang J. Some Notices on Mina Matrix and Allied Determinant Identities. J. Math. Res. Appli,2016,36:253-264 CSCD被引 1 次    
引证文献 1 篇

1 Chen Shaoshi Preface to the Special Topic on Computer Mathematics Journal of Systems Science and Complexity,2023,36(1):1-2
CSCD被引 0 次

显示所有1篇文献

论文科学数据集
PlumX Metrics
相关文献

 作者相关
 关键词相关
 参考文献相关

版权所有 ©2008 中国科学院文献情报中心 制作维护：中国科学院文献情报中心
地址：北京中关村北四环西路33号 邮政编码：100190 联系电话：(010)82627496 E-mail:cscd@mail.las.ac.cn 京ICP备05002861号-4 | 京公网安备11010802043238号