A Note on Modified Pell Polynomials

Nusret KARAASLAN

Type: Article

Publication Date: 2019-05-25

Citations: 2

DOI: https://doi.org/10.29002/asujse.511850

Abstract

In this paper, we study the modified Pell polynomials. We first give the proof of the generating function of these polynomials. We then give the proof of the Binet formula for the modified Pell polynomials, which gives the th modified Pell polynomial. We also obtain some summation formula for these polynomials. In addition, we investigate some well-known identities including Catalan, Cassini, d’Ocagne and Gelin-Cesaro identities involving the modified Pell polynomials.

Locations

Aksaray University Journal of Science and Engineering - View - PDF
DergiPark (Istanbul University) - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Gaussian Modified Pell Sequence and Gaussian Modified Pell Polynomial Sequence	2018	Tülay Yağmur Nusret KARAASLAN
+	Some Identities Involving Pell Polynomials	2006	LI Jun-zhuang
+ PDF Chat	Some identities of bivariate Pell and bivariate Pell-Lucas polynomials	2023	Yashwant K. Panwar
+	VIETA-PELL-LIKE POLYNOMIALS AND SOME IDENTITIES	2021	Wanna Sriprad Somnuk Srisawat KANTIDA TUITAKU
+	Some Identities Involving Two Classes of Polynomials	2008	Jia Cang-zhi
+ PDF Chat	On a new class of the generalized Gauss k-Pell numbers and their polynomials	2022	Aydin Kaya Hayrullah Özimamoğlu
+	A note on Gaussian Modified Pell numbers	2018	Paula Catarino Helena Campos
+	Generalized Pell Polynomials and Other Polynomials	1984	John Walton A. F. Horadam
+ PDF Chat	Pell Leonardo numbers and their matrix representations	2024	Çağla Çelemoğlu
+	BıGaussian Pell and Pell-Lucas polynomials	2022	Engi̇n Özkan Tuğba Alp
+ PDF Chat	(s,t)-Modified Pell Dizisi ve Matris Gösterimi	2019	Nusret KARAASLAN Tülay Yağmur
+	Certain unified polynomials	2018	Junesang Choi Nabiullah Khan Talha Usman Mohd Aman
+	Novel Classes on Generating Functions of the Products of (p,q)-Modified Pell Numbers with Several Bivariate Polynomials	2024	Ali Boussayoud Salah Boulaaras Ali Allahem
+	Generating Functions of Modified Pell Numbers and Bivariate Complex Fibonacci Polynomials	2019	Souhila Boughaba Ali Boussayoud Khadidja Boubellouta
+	On a New Generalization of Pell Hybrid Numbers	2024	Dorota Bród Anetta Szynal‐Liana Iwona Włoch
+	d-Gaussian Pell polynomials and their matrix representation	2022	Engi̇n Özkan Mıne Uysal
+	A note on the use of Rédei polynomials for solving the polynomial Pell equation and its generalization to higher degrees	2019	Nadir Murru
+	Mixed Pell Polynomials	1987	A. F. Horadam Bro. J. M. Mahon
+ PDF Chat	On the cubic Pell equation over finite fields	2023	Simone Dutto Nadir Murru
+	d-Gaussian Pell-Lucas Polynomials and Their Matrix Representations	2022	Engi̇n Özkan Mıne Uysal

Works That Cite This (1)

Action	Title	Year	Authors
+ PDF Chat	Matrix Structure of Jacobsthal Numbers	2021	Abdul Hamid Ganie Mashael M. AlBaidani

Works Cited by This (8)

Action	Title	Year	Authors
+	Some Identities Involving the Fibonacci Polynomials	2002	Yuan Yi Wenpeng Zhang
+	Fibonacci and Lucas Numbers, and the Golden Section: Theory and Applications	1989	S. Vajda
+	Fibonacci and Lucas polynomials	1981	B G S Doman John K. Williams
+	Sums Involving Fibonacci and Pell Numbers	1999	R. S. Melham
+	On Some Properties of Horadam Polynomials	2009	Tuğba Horzum E. Gökçen Koçer
+	Fibonacci and Lucas Numbers with Applications	2001	Thomas Koshy
+	Pell and Pell–Lucas Numbers with Applications	2014	Thomas Koshy
+	Pell and Pell-Lucas Polynomials	1985	A. F. Horadam J. M. Mahon