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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Volume: 68 Issue: 2

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

B. Demirtürk Bitim0000-0002-5911-5190
N. Topal0000-0002-2061-3432
Sayfa
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Yayın Tarihi
2019-08-01
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⚡ 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

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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
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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
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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

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Bu Makaleye Atıf Yap

Bitim, 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, Volume: 68 Issue: 2. https://doi.org/10.31801/cfsuasmas.551883

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Kaynakça (15)

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  11. Lucas, E., Théorie des fonctions numériques simplement périodiques, Amer. J. Math., 1 (1878), 184-240.
  12. Melham, R. S., On sums of powers of terms in a linear recurrence, Port. Math., 56(4), (1999), 501-508.
  13. 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.
  14. Vajda, S., Fibonacci and Lucas numbers and the golden section, Ellis Horwood Ltd. Publ., England, 1989.
  15. Chong, C. Y., Cheah, C. L. and Ho, C. K., Some identities of generalized Fibonacci sequence, AIP Conf. Proc., 1605 (2014), 661-665.