On The Pell Polynomıals Pn(x,s,q) and Tridiogonal Matrix

İNCİ GÜLTEKİN, YASEMİN TAŞYURDU

Abstract


In this study, the Polynomial pn(x,s,q)  in the real variables x and y ,  called q- Pell polynomials and its some properties are investigated.  The some formulas for these polynomials are derivated by matrices. Tridiagonal determinant of the matrix is given by the relationship between the Polynomial pn(x,s,q). 


Keywords


Binet formulas, pell polynomials

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References


Horadam A.F. Pell Identities. The Fibonacci Quarterly.1971; 9(1971):245–252p.

Cigler J. q - Fibonacci polynomials The Fibonacci Quarterly.2013; 41(2013): 31–40p.

Cahill N.D. et al. Fibonacci determinats. College Mathematics Journal. 2002; 3(3):221–225p.


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