Title: Fibonacci and related numbers in determinants

Abstract: There are many references to matrices or determinants that have Fibonacci numbers as elements. In this talk, we show several determinants expressing the Fibonacci and related polynomials. This method is well-applicable to other numbers or polynomials too. In addition, these results, based on the form of the Hessenberg matrix, allow for many applications such as inverse formulas, explicit expressions, and continued fraction representations.

Short Bio:

Distinguished Research Fellow, Institute of Mathematics, Henan Academy of Sciences, Zhengzhou, China

Special Researcher, Department of Mathematics, Institute of Science, Tokyo, Japan
Ph.D., Mathematics, Macquarie University, September 1995

Publications: 8 books and 266 research papers