Journals / Hacettepe Journal of Mathematics and Statistics / 2009 / Cilt: 38 - Sayı: 3

ON QUADRAPELL NUMBERS AND QUADRAPELL POLYNOMIALS

Pages
265–275
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)

Further we give the generating function, a Binet-like formula and formulae for sums of these numbers.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we define and deal with the quadrapell numbers, D(n), in terms of a linear recurrence relation of order 4, and define the quadrapell polynomials in x.
📊
Key Findings & Data:In this paper we define and deal with the quadrapell numbers, D(n), in terms of a linear recurrence relation of order 4, and define the quadrapell polynomials in x.
💡
Conclusion & Impact:Further we give the generating function, a Binet-like formula and formulae for sums of these numbers.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Quadrapell numbers · Quadrapell polynomials · 2000 AMS Classification: 11 B 39

Abstract

In this paper we define and deal with the quadrapell numbers, D(n), in terms of a linear recurrence relation of order 4, and define the quadrapell polynomials in x. Further we give the generating function, a Binet-like formula and formulae for sums of these numbers.

🔖

Cite This Article

TASCI, D. (2022). ON QUADRAPELL NUMBERS AND QUADRAPELL POLYNOMIALS. Hacettepe Journal of Mathematics and Statistics, Cilt: 38 - Sayı: 3, 265–275. https://ajindex.com/articles/530698

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (7)

  1. Harary, F. Determinants, permanents and bipartite graphs, Math. Mag. 42, 146–148, 1969. [2] Harne, S. and Parihar, C. L. Some generalized Fibonacci polynomials, J. Indian Acad. Math. 18(2), 251–253, 1996.
  2. Harne, S. and Singh, B. Some properties of fourth-order recurrence relations, Vikram Math. J. 20, 79–84, 2000. [4] Horadam, A. F. and Shannon, A. G. Irrational sequence-generated factors of integers, Fi- bonacci Quart. 19 (3), 240–250, 1981.
  3. Horn, R. and Johnson, C. Matrix Analysis (Cambridge University Press, 1985).
  4. Kilic, E. and Tasci, D. On families of bipartite graphs associated with sums of Fibonacci and Lucas numbers, Ars Combin. 89, 31–40, 2008.
  5. Kilic, E. and Tasci, D. On the second order linear recurrences by tridiagonal matrices, Ars Combin. (to appear). Koshy, T. Fibonacci and Lucas Numbers with Applications (John Wiley & Sons Inc., 2001). [9] Lee, G. -Y. k-Lucas numbers and associated Bipartite graphs, Linear Algebra and its Appl. 320, 51–61, 2000. [10] Minc, H. Permanents of (0,1)-circulants, Canad. Math. Bull. 7 (2), 253–263, 1964.
  6. Sato, S. On matrix representations of generalized Fibonacci numbers and their applications, in Applications of Fibonacci Numbers, Vol. 5 (St. Andrews, 1992) (Kluwer Acad. Publ., Dordrecht, 1993), 487–496.
  7. Tasci, D. and Kirkland, S. Sequence of upper bounds for the Perron root of nonnegative matrix, Linear Algebra and Its Appl. 273, 23–28, 1998.