56 citations · 289 across the 35 of their papers we have counts for
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Recurrence coefficients for discrete orthogonal polynomials with hypergeometric weight and discrete Painlevé equations
Anton Dzhamay, Galina Filipuk, Alexander Stokes
Over the last decade it has become clear that discrete Painlevé equations appear in a wide range of important mathematical and physical problems. Thus, the question of recognizing…
On the derivatives of the Heun functions
G. Filipuk, A. Ishkhanyan, J. Dereziński
The Heun functions satisfy linear ordinary differential equations of second order with certain singularities in the complex plane. The first order derivatives of the Heun functions…
Orthogonal Polynomials, Asymptotics and Heun Equations
Yang Chen, Galina Filipuk, Longjun Zhan
The Painlevé equations arise from the study of Hankel determinants generated by moment matrices, whose weights are expressed as the product of ``classical" weights multiplied by su…