Affiliation:
1. Rajamangala University of Technology Thanyaburi, Faculty of Science and Technology, Department of Mathematics, 12110 Pathum Thani, Thailand.
Abstract
In this paper, we introduce some new generalizations of the Vieta-Pell polynomial, which is called the Vieta-Pell-Like polynomial. We also give the generating function, the Binet's formula, the sum formula, and some well-known identities for this Vieta polynomial. Furthermore, the relations between the Vieta-Pell-Like polynomial and the previously well-known identities are presented.
Publisher
Valahia University of Targoviste - Journal of Science and Arts
Subject
General Earth and Planetary Sciences,General Environmental Science
Reference4 articles.
1. Robbins, N., Int. J. Math. Math. Sci. 14, 239, 1991.
2. Horadam, AF., Fibonacci Q., 40 (3), 223, 2002.
3. Tasci, D., Yalcin, F., Adv. Difference Equ, 224, 1, 2013.
4. Erkus-Duman, E., Tasci, D., Yalcin, F., Mathematical Communications, 20, 241, 2015