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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 4

SOME IDENTITIES FOR GENERALIZED FIBONACCI AND LUCAS SEQUENCES

Nurettin IRMAK
Murat ALP
Sayfa
331–338
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also, we investigate relationships between generalized Fibonacci and Lucas sequences.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we define a generalization of Lucas sequence{p n }.
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Temel Bulgular & Veri:Thenwe obtain Binet formula of sequence{p n } .
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Sonuç & Katkı:Also, we investigate relationships between generalized Fibonacci and Lucas sequences.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Extended Binet Formulas · Generalized Fibonacci and Lucas Sequences

Abstract

In this study, we define a generalization of Lucas sequence{p n }. Thenwe obtain Binet formula of sequence{p n } . Also, we investigate relationships between generalized Fibonacci and Lucas sequences.

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Bu Makaleye Atıf Yap

IRMAK, N., ALP, M. (2022). SOME IDENTITIES FOR GENERALIZED FIBONACCI AND LUCAS SEQUENCES. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 4, 331–338. https://ajindex.com/articles/530423

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Kaynakça (8)

  1. Horadam, A. F. A generalized Fibonacci Sequence, Amer. Math. Monthly, 68, 455–459, 1961.
  2. Edson, M. and Yayenie, O. A new generalization of Fibonacci sequences and extended Binet’s Formula, Integer 9, (#A48), 639–654, 2009.
  3. Yayenie, O. A note on generalized Fibonacci sequences, Applied. Math. Comp. 217 (12), 5603–5611, 2011.
  4. Koshy, T. Fibonacci And Lucas Numbers with Applications, Wiley, New York, 2001.
  5. Vajda, S. Fibonacci & Lucas Numbers and the Golden Section, Theory and Applications, Ellis Horwood Ltd., Chishester, 1989.
  6. Cooper, C. An identity for period k second order linear recurrence systems, Cong. Numer. 200, 95–106, 2010.
  7. Sahin, M. The Gelin-Cesaro identity in some conditional Sequences, Hacettepe Journal of Mathematics and Statistics, 40, 855–861, 2011.
  8. Irmak, N. and Szalay, L. On k −periodic Binary Recurrence, Ann. Math. Inform. 40, 25–35, 20