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- W2375737165 abstract "The matrix m= and all its integral powers Mn satisfy the generalized Fibonacci type relation.For integers n0,Mn=,where the Un=Wn(0,1;p,q) are generalized Fibonacci numbers.By judiciously manipulating elementary matrix indentities,known relations involving generalized Fibonacci numbers are rediscovered and extended.A matrix representation of the Un′ s is given using Mn.In addition,by similar study of the matrix X=,whereΔ =p2－ 4q,we obtain the corresponding results of generalized Lucas numbers Vn=Wn(2,p;p,q) and some relations between U_n and V_n." @default.
- W2375737165 created "2016-06-24" @default.
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- W2375737165 date "2001-01-01" @default.
- W2375737165 modified "2023-09-24" @default.
- W2375737165 title "Generalized Fibonacci Matrices and Matrix Representation of Generalized Fibonacci Numbers" @default.
- W2375737165 hasPublicationYear "2001" @default.
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