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A New Matrix Inversion for Bell Polynomials and Its Applications
《Journal of Mathematical Research with Applications》2019年第4期331-342,共12页Jin WANG 
Supported by the National Natural Science Foundation of China(Grant No.11401237)
The present paper gives a new Bell matrix inversion which arises from the classical Lagrange inversion formula. Some new relations for the Bell polynomials are obtained, including a Bell matrix inversion in closed for...
关键词：Bell polynomials Bell matrix matrix inversion Lagrange inversion formula binomialtype sequence Wronski determinant Faà di Bruno formula 
Third Hankel Determinant for Ma-Minda Bi-univalent Functions
《Journal of Mathematical Research with Applications》2019年第4期361-377,共17页Haiyan ZHANG Huo TANG 
Supported by the National Natural Science Foundation of China(Grant Nos.11561001; 11271045);the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region(Grant No.NJYT-18-A14);the Natural Science Foundation of Inner Mongolia(Grant No.2018MS01026);the Higher School Foundation of Inner Mongolia(Grant Nos.NJZY17300; NJZY17301);the Natural Science Foundation of Chifeng of Inner Mongolia
In this paper, we investigate the third Hankel determinant H3(1) for the class Hσμ(λ,φ)(λ≥ 1,μ≥ 1) of Ma-Minda bi-univalent functions in the open unit disk D ={z :|z|<1} and obtain the upper bound of the above...
关键词：analytic FUNCTION HANKEL DETERMINANT Ma-Minda bi-univalent FUNCTION upper bound 
Some Notices on Mina Matrix and Allied Determinant Identities
《Journal of Mathematical Research with Applications》2016年第3期253-264,共12页Jin WANG Xinrong MA 
Supported by the National Natural Science Foundation of China(Grant No.11401237)
By means of a special LU factorization of the Mina matrix with the n-th row and k-th column entry D_x^n （f^（ak）（x））, we obtain not only a short proof of the Mina determinant identity but also the inverse of the ...
关键词：factorization interpolation inverse triangular proof determinant differentiable arbitrary polynomial neighborhood 
Wronskian Solutions of Two Equations and Young Diagram Proof
《Journal of Mathematical Research with Applications》2014年第5期561-574,共14页Jianjun CHENG Jianqin MEI Zhen WANG Hongqing ZHANG 
the National Natural Science Foundation of China(Grant Nos.51109031;51379033;50921001;J1103110;11201048);Programs Foundation of Ministry of Education of China(Grant No.20100041120037);the Fundamental Research Funds for the Central Universities(Grant Nos.DUT12LK34;DUT12LK52);the StateKey Development Program for Basic Research of China(Grant Nos.2013CB036101;2010CB32700)
In this paper, we obtain the linear differential conditions of （3 ＋ 1）-dimensional Jimbo-Miwa equation and Boiti-Leon-Manna-Pempinelli equation, which guarantee that the corresponding Wronskian determinant solves t...
关键词：Wronskian determinant solution Young diagram Pliicker relations. 
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