On Period of the Sequence of Fibonacci Polynomials Modulo | Zendy

İnci Gültekin | Zendy; Yasemin Taşyurdu | Zendy

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On Period of the Sequence of Fibonacci Polynomials Modulo

Author(s) -

İnci Gültekin,

Yasemin Taşyurdu

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/731482

Subject(s) - fibonacci number , modulo , fibonacci polynomials , pisano period , mathematics , combinatorics , sequence (biology) , lucas number , period (music) , polynomial , exponent , lucas sequence , order (exchange) , prime (order theory) , discrete mathematics , orthogonal polynomials , classical orthogonal polynomials , mathematical analysis , physics , linguistics , philosophy , finance , biology , acoustics , economics , genetics

It is shown that the sequence obtained by reducing modulo coefficient and exponent of each Fibonacci polynomials term is periodic. Also if is prime, then sequences of Fibonacci polynomial are compared with Wall numbers of Fibonacci sequences according to modulo . It is found that order of cyclic group generated with matrix is equal to the period of these sequences

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