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Pell, Pell-Lucas ve Modified Pell Dizilerinin Terimlerinin Çarpımları İçin Bazı Toplam Formülleri

SOME SUMS FORMULAE FOR PRODUCTS OF TERMS OF PELL, PELL-LUCAS AND MODIFIED PELL SEQUENCES

Journal Name:

  • Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi

Publication Year:

  • 2011

Key Words:

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
We derive some sums formulae for certain products of terms of the Pell , Pell-Lucas and modified Pell sequences. Also, we show that these sums can be rewritten in terms of these sequences.
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Abstract (Original Language): 
Pell, Pell-Lucas ve Modified Pell dizilerinin terimleri için bazı toplam formüllerini elde ettik. Ayrıca, bu toplamların bu dizilerin terimlerine göre yazılabileceğini de gösterdik.
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  • 2
151 - 155
  • Turkish

REFERENCES

References: 

[1] Horadam, A. F., Applications of Modified Pell Numbers to Representations, Ulam Quarterly, 3(1), (1994), 34-53.
[2] Horadam, A. F., Pell Identities, The Fibonacci Quart., 9(3), (1971), 245-252.
[3] Melham, R., Sums Involving Fibonacci and Pell Numbers, Portugaliae Math., 56(3), (1999), 309-317.
[4] Vajda, S., Fibonacci and Lucas numbers and the Golden section: Theory and Applications, Ellies Horwood Ltd., (1989).
[5] T. Koshy, Fibonacci and Lucas Numbers with Applications, AWiley-Intersection Publication, 2001.

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