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《Journal of Wuhan University(Natural Science Edition)》 1990-01
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A FORMULA OF SOLUTION FOR A KIND OF RECURRENCE RELATION WITH TWO PARAMETERS

Yu Chang'an (Department of Mathematics,Wuhan University)  
In this paper,the solution for a kind of recurrence relation with two parameters u_(ij)=∑~(p-2)_(λ=0)a_((p-1)-λ)u_((i-1-λ)_j)+a_0u_(i-n j-1)(i≥p-1+nj,j=0,1,…) u_(λ,0)=c_λ(λ=0,1,…,p-2),u_(i,j)=0(j0,or j≥1 and ip-1+nj,i=0,1…) (where p≥2,n≥0,a_k(k=0,1,…,p-1)and c_λ(λ=0,1,…p-2)are arbitrary constants)is given by an explicit formula u_(i·j)={∑~(p-2)_(λ=0){∑~λ_(k=0){F[(i-k-nj-(p-1)),j]}a_(λ+1-k)}c_λ}a_0~j (i=0,1,2,"",j=0,1,"",n≥0) This consequence is all of certain meaning in theory and practice.
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Chinese Journal Full-text Database 1 Hits
1 Yu Changan (Wuhan University);ON THE COUNTING FORMULAE OF SOME COMBINATORIAL PROBLEMS OF PERMUTATION GROUP[J];Journal of Mathematics;1993-02
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1 Chen Yintong Yu Changan (Wuhan university);THE STRUCTURE OF ANALYTIC SOLUTION OF CAUCHY'S PROBLEM FOR LINEAR PARTIAL DIFFERENTIAL EQUATION OF THE THIRD ORDER[J];Journal of Mathematics;1983-02
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1 Yuan Pingzhi Wan Jiabao Xiao Guoneng Liu Guoxin(Dept of Math, Phys and Mech,Changsha Railway University,Changsha, 410075);The Representations of F-L Sequences[J];Journal of Changsha Railway University;1998-04
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5 QIAN Xiao-wu(Zhenjiang College,Zhenjiang,Jiangsu 212003,China);A New Solution to Homogeneous Linear Difference Equations with Constant Coefficients[J];College Mathematics;2008-02
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8 Cken Yintong Yu Changan;The Construction of Analytic Solutions for Cauchy Problem with System of Third Order Linear Partial Differential Equations[J];;1985-06
9 ZHANG FUJI(Department of Mathematics, Xinjiang University, Urumqi);GENERALIZED LINEAR DIFFERENCE EQUATION AND ITS INVERSE PROBLEM[J];科学通报(英文版);1986-23
10 LI Zhong,LI Wei-xun(College of Science,Guangdong University of Petrochemical Technology,Maoming 525000,China);On the Series Representation for Solutions of Homogeneous Linear Ordinary Differential Equations with Constant Coefficients[J];Journal of Maoming University;2010-06
【Co-references】
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1 ZHAO Xi-mei, LIU Yan-pei (School of Sciences, Beijing JiaoTong University, Beijing 100044,China);Genus Polynomial for Tree-Like Graph[J];Journal of Northern Jiaotong University;2004-03
2 LI Li-feng,LIU Yan-pei (School of Sciences, Beijing Jiaotong University, Beijing 100044,China);Genus Distribution of Embeddings for A Type of 3-Regular Graphs[J];Journal of Northern Jiaotong University;2004-06
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4 Yu Changan(Department of Mathematics, Wuhan University, Wuhan 430072);The Construction of Solution for a Class of Homogeneous Recurrence Relation with two Indices[J];Acta Mathematiea Scientia;2002-01
5 YU CHANGAN(Department of Mathematics, Wuhan University, Wuhan, 430072);AN EXPLICIT FORMULA OF SOLUTION FOR A KIND OF THE HOMOGENEOUS RECURRENCE RELATION OF CONSTANT COEFFICIENTS WITH TWO INDICES[J];ACTA MATHEMATICAE APPLICATAE SINICA;1997-01
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【Secondary Citations】
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1 Tu GUIZHANG (Computing-Centre,Academia Sinica,Beijing);A FORMULA FOR GENERAL SOLUTIONS OF HOMOGENEOUS TRINOMIAL RECURRENCES[J];Chinese Annals of Mathematics,series A;1981-04
2 Chen Yintong Wuhan University;ON ANALYTIC SOLUTIONS OF CAUCHY'S PROBLEM FOR SYSTEM OF SECOND ORDER LINEAR PARTIAL DIFFERENTIAL EQUATIONS[J];Journal of Mathematics;1981-02
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