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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2017.1
- 수록면
- 1 - 84 (84page)
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In this paper we study the Fibonacci numbers and derive some interesting properties and recurrence relations. We prove some charecterizations for $F_p$, where $p$ is a prime of a certain type. We also define period of a Fibonaccisequence modulo an integer, $m$ and derive certain interesting properties related to them. Afterwards, we derive some new properties of a class of generalized Fibonacci numbers. In the last part of the paper we introduce some generalized Fibonacci polynomial sequences and we derive some results related to them.
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참고문헌 (6)
참고문헌 신청
D. M. Burton / 2007 / Elementary number theory / Tata McGraw Hill
G. B. Djordjevic / 2005 / Some generalizations of the incomplete Fibonacci and the incomplete Lucas polynomials / Adv. Stud. Contemp. Math. 11 (1) : 11 ~ 32
G. B. Djordjevic / 2006 / Some generalizations of certain sequences associated with the Fibonacci numbers / J. Indones. Math. Soc 12 (1) : 99 ~ 112
M. Bicknell-Johnson / 1990 / Divisibility properties of the Fibonacci numbers minus one, generalized to Cn = Cn?1 + Cn?2 + k / Fibonacci Quart 28 : 107 ~ 112
R. A. Mollin / 2008 / Fundamental number theory with applications / Chapman and Hall/CRC
G. B. Djordjevic / 2005 / Some generalizations of the incomplete Fibonacci and the incomplete Lucas polynomials / Adv. Stud. Contemp. Math. 11 (1) : 11 ~ 32
G. B. Djordjevic / 2006 / Some generalizations of certain sequences associated with the Fibonacci numbers / J. Indones. Math. Soc 12 (1) : 99 ~ 112
M. Bicknell-Johnson / 1990 / Divisibility properties of the Fibonacci numbers minus one, generalized to Cn = Cn?1 + Cn?2 + k / Fibonacci Quart 28 : 107 ~ 112
R. A. Mollin / 2008 / Fundamental number theory with applications / Chapman and Hall/CRC
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