19-23 June 2023
Faculty of Physics, University of Warsaw
Europe/Warsaw timezone
Continuous integrable systems
Place
Location: Faculty of Physics, University of Warsaw
Address: Pasteura 5, Warsaw
Room: Lecture hall: 0.06
Date:
23 Jun 11:30 - 13:00
Timetable | Contribution List
Displaying 3
contributions
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3
Session:
Continuous integrable systems
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
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Presented by Ms. Archna KUMARI
on
23/06/2023
at
10:30
Session:
Continuous integrable systems
We extend the expansion formulas of Liu given in 2013 to the context of multiple series over root systems. Liu and others have shown the usefulness of these formulas in Special Functions and number-theoretic contexts. We extend Wang and Ma’s generalizations of Liu’s work which they obtained using q-Lagrange inversion. We use the A_n and C_n Bailey transformation and other summation theorems du
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Presented by Ms. SURBHI RAI
on
23/06/2023
at
10:00
Session:
Continuous integrable systems
The quasi-Painleve property of a system of ordinary differential
equations, here meaning the condition that movable singularities reachable by analytic continuation along finite length curves are at worst algebraic branch points, is described in terms of global Hamiltonian structures on an analogue of Okamoto’s spaces of initial conditions for the Painleve equations. This is a joint work with
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Presented by Dr. Galina FILIPUK
on
23/06/2023
at
09:30