264 citations · 2.5k across the 94 of their papers we have counts for
94 papers
Multivariate Hahn polynomials and difference equations
Ryu Sasaki
The multivariate Hahn polynomials are constructed explicitly as the common eigenvectors of a family of second order difference operators. They are orthogonal with respect to the hy…
Multivariate Kawtchouk polynomials as Birth and Death polynomials
Ryu Sasaki
Multivariate Krawtchouk polynomials are constructed explicitly as Birth and Death polynomials, which have the nearest neighbour interactions. They form the complete set of eigenpol…
Quantum vs Classical Birth and Death Processes; Exactly Solvable Examples
Ryu Sasaki
A coinless quantisation procedure of continuous and discrete time Birth and Death (BD) processes is presented. The quantum Hamiltonian H is derived by similarity transforming the m…
Quantum vs classical Markov chains; Exactly solvable examples
Ryu Sasaki
A coinless quantisation procedure of general reversible Markov chains on graphs is presented. A quantum Hamiltonian H is obtained by a similarity transformation of the fundamental…
Exactly solvable piecewise analytic double well potential and its dual single well potential
Ryu Sasaki
By putting two harmonic oscillator potential side by side with a separation , two exactly solvable piecewise analytic quantum systems with a free parameter are obta…
"Diophantine'' and Factorisation Properties of Finite Orthogonal Polynomials in the Askey Scheme
Satoru Odake, Ryu Sasaki
A new interpretation and applications of the ``Diophantine'' and factorisation properties of {\em finite} orthogonal polynomials in the Askey scheme are explored. The corresponding…