KaydedilenlerDerginizi ekleyin

Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 2

(p; q)-FIBONACCI AND (p; q)-LUCAS SUMS BY THE DERIVATIVES OF SOME POLYNOMIALS

B. DEMİRTÜRK BİTİM
N. TOPAL
Sayfa
1733–1741
Yayın Tarihi
2019-08-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The main purpose of this paper is to survey several sum formulae of (p,q)-Fibonacci number U_{n} and (p,q)-Lucas number V_{n} by using the first and the second derivatives of the equations

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The main purpose of this paper is to survey several sum formulae of (p,q)-Fibonacci number U_{n} and (p,q)-Lucas number V_{n} by using the first and the second derivatives of the equations
📊
Temel Bulgular & Veri:The main purpose of this paper is to survey several sum formulae of (p,q)-Fibonacci number U_{n} and (p,q)-Lucas number V_{n} by using the first and the second derivatives of the equations
💡
Sonuç & Katkı:The main purpose of this paper is to survey several sum formulae of (p,q)-Fibonacci number U_{n} and (p,q)-Lucas number V_{n} by using the first and the second derivatives of the equations
🔬Tür:Uygulamalı Anket & Alan Araştırması
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fibonacci polynomial · Lucas polynomial · sum of products

Abstract

The main purpose of this paper is to survey several sum formulae of (p,q)-Fibonacci number U_{n} and (p,q)-Lucas number V_{n} by using the first and the second derivatives of the equations

🔖

Bu Makaleye Atıf Yap

BİTİM, B. D., TOPAL, N. (2019). (p; q)-FIBONACCI AND (p; q)-LUCAS SUMS BY THE DERIVATIVES OF SOME POLYNOMIALS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 68 - Sayı: 2, 1733–1741. https://ajindex.com/articles/746946

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (11)

  1. Amini, A.R., Fibonacci numbers from a long division formula, Mathematical Spectrum, 40 (2008), 59-61.
  2. Belbachir, H. and Bencherif, F., Sums of products of generalized Fibonacci and Lucas numbers, arXiv: 0708.2347v1, 17.08.2007.
  3. Benjamin, A. T. and Quinn, J. J., Proofs that really count, the art of combinatorial proofs, Mathematical Association of America, Providence, RI, 2003. Čerin, Z., Sums of products of generalized Fibonacci and Lucas numbers, Demonstratio Math., 42(2), (2009), 247-258. Čerin, Z., Some alternating sums of Lucas numbers, Cent. Eur. J. Math., 3(1), (2015), 1-13. Čerin, Z., Bitim, B. D. and Keskin, R., Sum formulae of generalized Fibonacci and Lucas numbers, Honam Math. J., 40(1), (2018), 199-210.
  4. Chong, C. Y., Cheah, C. L. and Ho, C. K., Some identities of generalized Fibonacci sequence, AIP Conf. Proc., 1605 (2014), 661-665.
  5. Horadam, A. F., Basic properties of certain generalized sequences of numbers, Fibonacci Quart., 3(5), (1965), 161-176.
  6. Koshy, T., Fibonacci and Lucas numbers with applications, Wiley and Sons, Canada, 2001.
  7. Long, C. T., Discovering Fibonacci identities, Fibonacci Quart., 24(2), (1986), 160-167.
  8. Lucas, E., Théorie des fonctions numériques simplement périodiques, Amer. J. Math., 1 (1878), 184-240.
  9. Melham, R. S., On sums of powers of terms in a linear recurrence, Port. Math., 56(4), (1999), 501-508.
  10. Shannon, A. G. and Horadam, A. F., Special recurrence relations associated with the sequence {w_{n}(a,b;p,q)}, Fibonacci Quart., 17(4), (1979), 294-299.
  11. Vajda, S., Fibonacci and Lucas numbers and the golden section, Ellis Horwood Ltd. Publ., England, 1989.