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

Authors

  • İNCİ GÜLTEKİN ATATÜRK UNIVERSITY
  • YASEMİN TAŞYURDU ERZİNCAN UNIVERSITY

DOI:

https://doi.org/10.37591/rrdms.v1i1.104

Keywords:

Binet formulas, pell polynomials

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). 

Author Biographies

  • İNCİ GÜLTEKİN, ATATÜRK UNIVERSITY
    MATHEMATICS
  • YASEMİN TAŞYURDU, ERZİNCAN UNIVERSITY
    MATHEMATICS

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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Published

2014-05-08

Issue

Vol. 1 No. 1 (2014)

Section

Research Articles

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