3 papers
math.CA2020
From Heun Class Equations to Painlevé Equations
Jan Dereziński, Artur Ishkhanyan, Adam Latosiński
In the first part of our paper we discuss linear 2nd order differential equations in the complex domain, especially Heun class equations, that is, the Heun equation and its conflue…
math.GM2019
Generalized-hypergeometric solutions of the general Fuchsian linear ODE having five regular singularities
A. Ishkhanyan, C. Cesarano
We show that a Fuchsian differential equation having five regular singular points admits solutions in terms of a single generalized hypergeometric function for infinitely many part…
math.CA2019
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…