19-23 June 2023
Faculty of Physics, University of Warsaw
Europe/Warsaw timezone
A Weighted and Elliptic extension of Fibonacci numbers
Presented by Ms. Archna KUMARI
on
23 Jun 2023
from
12:30
to
13:00
Session:
Continuous integrable systems
Content
We extend Fibonacci numbers with arbitrary weights and generalize a dozen Fibonacci identities. As a special case, we propose an elliptic extension which extends the $q$-Fibonacci polynomials appearing in Schur's work. The proofs of most of the identities are combinatorial, extending the proofs given by Benjamin and Quinn, and in the $q$ case, by Garrett. Some identities are proved by telescoping.
Place
Location: Faculty of Physics, University of Warsaw
Address: Pasteura 5, Warsaw
Room: Lecture hall: 0.06
Co-authors
- Dr. Michael SCHLOSSER University of Vienna
- Dr. Gaurav BHATNAGAR Visiting Professor, Ashoka University, India