19-23 June 2023
Faculty of Physics, University of Warsaw
Europe/Warsaw timezone
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A Weighted and Elliptic extension of Fibonacci numbers

Presented by Ms. Archna KUMARI on 23 Jun 2023 from 12:30 to 13:00

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

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