In this paper we deal with the characteristic polynomial of finite Riodan matix. We giveseveral forms of its explicit expressions. Its applications to combinatorial identities, specially to F-Lidentities, are stated.
设a,b为整数,b≠0。广义Fibonacci序列{un}定义为u0=0,u1=1,un+2=aun+1+bun(n≥0)。设a,b,c,n,k,m,r为整数,求解关于t1,…,tm-r的不定方程(+1-)1m ri i k m ii?t e u c=∑=(k>0,m-1>r≥0,c∈Z,ei=±1,i=1,…,m-r)给出了求解例...设a,b为整数,b≠0。广义Fibonacci序列{un}定义为u0=0,u1=1,un+2=aun+1+bun(n≥0)。设a,b,c,n,k,m,r为整数,求解关于t1,…,tm-r的不定方程(+1-)1m ri i k m ii?t e u c=∑=(k>0,m-1>r≥0,c∈Z,ei=±1,i=1,…,m-r)给出了求解例子,并较详细说明了在构造F-L恒等式方面的应用。展开更多
Riodan Matrix is a lower triangular matrix of infinite order with certainly restricted conditions. In this paper, the author defines two kinds of finite Riodan matrices which are not limited to lower triangular. Prope...Riodan Matrix is a lower triangular matrix of infinite order with certainly restricted conditions. In this paper, the author defines two kinds of finite Riodan matrices which are not limited to lower triangular. Properties of group theory of the two kinds matrices are considered. Applications of the finite Riodan matrices are researched.展开更多
文摘In this paper we deal with the characteristic polynomial of finite Riodan matix. We giveseveral forms of its explicit expressions. Its applications to combinatorial identities, specially to F-Lidentities, are stated.
文摘设a,b为整数,b≠0。广义Fibonacci序列{un}定义为u0=0,u1=1,un+2=aun+1+bun(n≥0)。设a,b,c,n,k,m,r为整数,求解关于t1,…,tm-r的不定方程(+1-)1m ri i k m ii?t e u c=∑=(k>0,m-1>r≥0,c∈Z,ei=±1,i=1,…,m-r)给出了求解例子,并较详细说明了在构造F-L恒等式方面的应用。
文摘Riodan Matrix is a lower triangular matrix of infinite order with certainly restricted conditions. In this paper, the author defines two kinds of finite Riodan matrices which are not limited to lower triangular. Properties of group theory of the two kinds matrices are considered. Applications of the finite Riodan matrices are researched.
