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PELL, PELL-LUCAS VE MODIFIED PELL DİZİLERİ ARASINDA BAZI İLİŞKİLER

ON SOME RELATIONSHIPS AMONG PELL, PELL-LUCAS AND MODIFIED PELL SEQUENCES

Journal Name:

  • Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi

Publication Year:

  • 2010

Key Words:

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
In this study, Pell, Pell-Lucas and Modified Pell numbers are investigated. Using Binet formulas for these sequences, some relationships among these sequences are obtained. Also, some sum formulas are given by these properties.
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Abstract (Original Language): 
Bu çalışmada Pell, Pell-Lucas ve Modified Pell sayıları çalışıldı. Bu sayı dizileri için tanımlanan Binet formülleri kullanılarak, bu dizilerin birbirleriyle olan bazı ilişkileri ortaya kondu. Bulunan bu özellikler yardımıyla da bazı toplam formülleri verildi.
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  • 2
141 - 145
  • English

REFERENCES

References: 

[1] J. Ercolano, Matrix generator of Pell sequence,
Fibonacci Quart. 17, 1 (1979), 71-77.
[2] A. F. Horadam, Pell identities, Fibonacci Quart. 9 ,3
(1971), 245-252.
[3] R. Melham, Sums Involving Fibonacci and Pell
Numbers, Portugaliae Math., 56(3), 309-317, 1999.
[4] A.F. Horadam, Applications of Modified Pell
Numbers to Representations, Ulam Quarterly,
3(1994), 34-53.
[5] D. Zielberger, The method of creative telescoping, J.
Symb., Comp., Vol. 11 (1991), 195-204.
[6] E. Kılıc and D. Tascı, ,The Linear Algebra of The
Pell Matrix, Bull. Soc. Mat. Mexicana,.2, 11 (2005),
163-174.
[7] T. Koshy, Fibonacci and Lucas Numbers with
Applications, Wiley-, (2001).

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