SavedAdd your journal

Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 3

Incomplete k-Pell, k-Pell-Lucas and modi ed k-Pell numbers

Paula Catarino CATARİNO
Helena CAMPOS
Pages
361–372
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper, it is dened the incomplete k-Pell, k-Pell-Lucas and Modiedk-Pell numbers, it is studied the recurrence relations, some propertiesof these sequences of integers and their generating functions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, it is dened the incomplete k-Pell, k-Pell-Lucas and Modiedk-Pell numbers, it is studied the recurrence relations, some propertiesof these sequences of integers and their generating functions.
📊
Key Findings & Data:In this paper, it is dened the incomplete k-Pell, k-Pell-Lucas and Modiedk-Pell numbers, it is studied the recurrence relations, some propertiesof these sequences of integers and their generating functions.
💡
Conclusion & Impact:In this paper, it is dened the incomplete k-Pell, k-Pell-Lucas and Modiedk-Pell numbers, it is studied the recurrence relations, some propertiesof these sequences of integers and their generating functions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, it is dened the incomplete k-Pell, k-Pell-Lucas and Modiedk-Pell numbers, it is studied the recurrence relations, some propertiesof these sequences of integers and their generating functions.

🔖

Cite This Article

CATARİNO, P. C., CAMPOS, H. (2022). Incomplete k-Pell, k-Pell-Lucas and modi ed k-Pell numbers. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 3, 361–372. https://ajindex.com/articles/529924

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (15)

  1. Young H. J. and Sang P. J. Linearlization of Generalized Fibonacci Sequences, Korean J. Math. 22 (3), 443-454, 2014.
  2. Yilmaz, N. and Taskara, N. Incomplete Tribonacci-Lucas Numbers and Polynomials, Adv. Appl. Cliord Algebras 25, 741-753, 2015. [33] Yilmaz, N. Incomplete Tribonacci Numbers and Its Determinants, Ms.Thesis, Selçuk University, 2011. [32] Vorobiov, N. N. Numeros de Fibonacci, Editora MIR, URSS, 1974. [31] Vasco, P. and Catarino, P. Sums and products involving terms of k-Pell, k-Pell-Lucas and Modied k-Pell sequences, JP J. Algebra Number Theory Appl. 32 (2), 87-98, (2014).
  3. Vasco, P., Catarino, P., Campos, H., Aires, A. P. and Borges, A. k−Pell, k−Pell-Lucas and Modi ed k−Pell Numbers: Some Identities and Norms of Hankel Matrices, Int. J. Math. Anal. 9 (1), 31-37, 2015.
  4. Tasci, D. and Firengiz, M. C. Incomplete Fibonacci and Lucas p−numbers, Math. Comput. Modelling 52 (9-10), 1763-1770, 2010.
  5. Tasci, D., Cetin Firengiz, M. and Tuglu, N. Incomplete bivariate Fibonacci and Lucas ppolynomials, Discrete Dyn. Nat. Soc., article ID 840345, 2012.
  6. Srivastava, H. M. and Manocha, H. L. A Treatise on Generating Functions, Halsted Press,
  7. Ellis Horwood Limited, Chichester, UK, John Wiley and Sons, New York, NY, USA, 1984. Ramírez, J. and Sirvent, V. Incomplete tribonacci numbers and polynomials, J. Integer Seq. 17, article 14.4.2, 2014. Ramírez, J. L. Incomplete generalized Fibonacci and Lucas polynomials, Hacettepe Journal of Mathematics and Statistics 44 (2), 363-373, 2015. Pintér, A. and Srivastava, H. M. Generating functions of the incomplete Fibonacci and Lucas numbers, Rend. Circ. Mat. Palermo 48 (Serie II), 591-596, 1999.
  8. Marques, D. The Order of Appearance of the Product of Consecutive Lucas Numbers, Fibonacci Quart. 51 (1), 38-43, 2013.
  9. Luca, F. Fibonacci numbers, Lucas numbers and orders of nite simple groups, JP J. Algebra Number Theory Appl. 4 (1), 23-54, 2004.
  10. Koshy, T. Fibonacci, Lucas, and Pell numbers, and Pascal's triangle, Mathematical Spectrum 43 (3), 125-132, 2011.
  11. Koshy, T. Pell and Pell-Lucas Numbers with Applications, Springer, New York, 2014.
  12. Horadam, A. F. Pell identities, Fibonacci Quart. 9 (3), 245-252, 263, 1971.
  13. Hoggatt, V. E. Fibonacci and Lucas Numbers, Fibonacci Association, University of Santa Clara, Santa Clara, Houghton Mi in Company, 1969.
  14. Halici, S. Some sums formulae for products of terms of Pell, Pell-Lucas and Modi ed Pell sequences, SAÜ. Fen Bilimleri Dergisi 15 Cilt, 2. SayL, 151-155, 2011.
  15. Gupta, V. K., Panwar, Y. K. a