We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Fibonacci and Lucas Differential Equations.
- Authors
Erkuş-Duman, Esra; Ciftci, Hakan
- Abstract
The second-order linear hypergeometric differential equation and the hypergeometric function play a central role in many areas of mathematics and physics. The purpose of this paper is to obtain differential equations and the hypergeometric forms of the Fibonacci and the Lucas polynomials. We also write again these polynomials by means of Olver's hypergeometric functions. In addition, we present some relations between these polynomials and the other well-known functions.
- Subjects
POLYNOMIALS; LUCAS numbers; FIBONACCI sequence; DIFFERENTIAL equations; HYPERGEOMETRIC functions; GAUSSIAN function
- Publication
Applications & Applied Mathematics, 2018, Vol 13, Issue 2, p756
- ISSN
1932-9466
- Publication type
Article