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math-ph2013★ 19 cited
Multi-indexed Jacobi polynomials and Maya diagrams
Kouichi Takemura
Multi-indexed Jacobi polynomials are defined by the Wronskian of four types of eigenfunctions of a deformed Pöschl-Teller Hamiltonian. We give a correspondence between multi-indexe…
math.CA2013★ 10 cited
Ultradiscrete Painlevé VI with Parity Variables
Kouichi Takemura, Terumitsu Tsutsui
We introduce a ultradiscretization with parity variables of the -difference Painlevé VI system of equations. We show that ultradiscrete limit of Riccati-type solutions of -Pa…