72 citations · 524 across the 41 of their papers we have counts for
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math.CA2006★ 6 cited
Two variable deformations of the Chebyshev measure
Jeffrey S. Geronimo, Plamen Iliev
We construct one and two parameter deformations of the two dimensional Chebyshev polynomials with simple recurrence coefficients, following the algorithm in [3]. Using inverse scat…
math-ph2006★ 14 cited
Rational Ruijsenaars-Schneider hierarchy and bispectral difference operators
Plamen Iliev
We show that a monic polynomial in a discrete variable , with coefficients depending on time variables is a -function for the discrete Kadomtsev-Petviashvili h…
math-ph2006★ 5 cited
Heat kernel expansions on the integers and the Toda lattice hierarchy
Plamen Iliev
We consider the heat equation where is a second-order difference operator in a discrete variable . The fundamental solution has an expansion in terms of the Bessel…