Incomplete Bivariate Fibonacci and Lucas -Polynomials | Zendy

Dursun Taşçı | Zendy; Mirac Cetin Firengiz | Zendy; Naim Tuğlu | Zendy

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Incomplete Bivariate Fibonacci and Lucas -Polynomials

Author(s) -

Dursun Taşçı,

Mirac Cetin Firengiz,

Naim Tuğlu

Publication year - 2012

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 - 10.1155/2012/840345

Subject(s) - fibonacci polynomials , fibonacci number , lucas number , lucas sequence , bivariate analysis , mathematics , pisano period , combinatorics , discrete mathematics , classical orthogonal polynomials , orthogonal polynomials , statistics

We define the incomplete bivariate Fibonacci and Lucas -polynomials. In the case =1, =1, we obtain the incomplete Fibonacci and Lucas -numbers. If =2, =1, we have the incomplete Pell and Pell-Lucas -numbers. On choosing =1, =2, we get the incomplete generalized Jacobsthal number and besides for =1 the incomplete generalized Jacobsthal-Lucas numbers. In the case =1, =1, =1, we have the incomplete Fibonacci and Lucas numbers. If =1, =1, =1, =⌊(−1)/(+1)⌋, we obtain the Fibonacci and Lucas numbers. Also generating function and properties of the incomplete bivariate Fibonacci and Lucas -polynomials are given

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