4 citations · 6 across the 3 of their papers we have counts for
3 papers
math.AG2023★ 1 cited
Tropical second main theorem and the Nevanlinna inverse problem
Juho Halonen, Risto Korhonen, Galina Filipuk
A generalization of the second main theorem of tropical Nevanlinna theory is presented for noncontinuous piecewise linear functions and for tropical hypersurfaces without requiring…
math.CA2012★ 1 cited
A classification of coverings yielding Heun-to-hypergeometric reductions
Raimundas Vidunas, Galina Filipuk
Pull-back transformations between Heun and Gauss hypergeometric equations give useful expressions of Heun functions in terms of better understood hypergeometric functions. This art…
math.CA2012★ 4 cited
The generalized Krawtchouk polynomials and the fifth Painlevé equation
Lies Boelen, Galina Filipuk, Christophe Smet +2
We study the recurrence coefficients of the orthogonal polynomials with respect to a semi-classical extension of the Krawtchouk weight. We derive a coupled discrete system for thes…