We describe the close connection between the linear system for the sixth Painlevé equation and the general Heun equation, formulate the Riemann–Hilbert problem for the Heun functions and show how, in the case of reducible monodromy, the Riemann–Hilbert formalism can be used to construct explicit polynomial solutions of the Heun equation
AbstractWe study the generalized Riemann–Hilbert problem, which extends the classical Riemann–Hilber...
The classical Heun equation has the form {Q(z)d(2)/dz(2) + P(z)d/dz + V(z)} S(z) = 0. where Q(z) is ...
The classical Heun equation has the form {Q(z)d(2)/dz(2) + P(z)d/dz + V(z)} S(z) = 0. where Q(z) is ...
We describe the close connection between the linear system for the sixth Painlevé equation and the g...
AbstractThe reductions of the Heun equation to the hypergeometric equation by polynomial transformat...
Connection formulas relating Frobenius solutions of linear ODEs at different Fuchsian singular point...
The well-known Heun equation has the form Q(z) d2 dz2 + P(z) d dz + V (z)ffS(z) = 0, where Q(z) is a...
The well-known Heun equation has the form Q(z) d2 dz2 + P(z) d dz + V (z)ffS(z) = 0, where Q(z) is a...
[EN] It is shown that the Confluent Heun Equation (CHEq) reduces for certain conditions of the param...
Copyright © 2013 AIP PublishingWe report a solution of the one-dimensional Schrödinger equation with...
The domain of convergence of a Heun function obtained through the Poincar\'{e}--Perron (P--P) theore...
We review properties of certain types of polynomial solutions of the Heun equation. Two aspects are ...
We review properties of certain types of polynomial solutions of the Heun equation. Two aspects are ...
We review properties of certain types of polynomial solutions of the Heun equation. Two aspects are ...
A new, numerical framework for the approximation of solutions to matrix-valued Riemann-Hilbert probl...
AbstractWe study the generalized Riemann–Hilbert problem, which extends the classical Riemann–Hilber...
The classical Heun equation has the form {Q(z)d(2)/dz(2) + P(z)d/dz + V(z)} S(z) = 0. where Q(z) is ...
The classical Heun equation has the form {Q(z)d(2)/dz(2) + P(z)d/dz + V(z)} S(z) = 0. where Q(z) is ...
We describe the close connection between the linear system for the sixth Painlevé equation and the g...
AbstractThe reductions of the Heun equation to the hypergeometric equation by polynomial transformat...
Connection formulas relating Frobenius solutions of linear ODEs at different Fuchsian singular point...
The well-known Heun equation has the form Q(z) d2 dz2 + P(z) d dz + V (z)ffS(z) = 0, where Q(z) is a...
The well-known Heun equation has the form Q(z) d2 dz2 + P(z) d dz + V (z)ffS(z) = 0, where Q(z) is a...
[EN] It is shown that the Confluent Heun Equation (CHEq) reduces for certain conditions of the param...
Copyright © 2013 AIP PublishingWe report a solution of the one-dimensional Schrödinger equation with...
The domain of convergence of a Heun function obtained through the Poincar\'{e}--Perron (P--P) theore...
We review properties of certain types of polynomial solutions of the Heun equation. Two aspects are ...
We review properties of certain types of polynomial solutions of the Heun equation. Two aspects are ...
We review properties of certain types of polynomial solutions of the Heun equation. Two aspects are ...
A new, numerical framework for the approximation of solutions to matrix-valued Riemann-Hilbert probl...
AbstractWe study the generalized Riemann–Hilbert problem, which extends the classical Riemann–Hilber...
The classical Heun equation has the form {Q(z)d(2)/dz(2) + P(z)d/dz + V(z)} S(z) = 0. where Q(z) is ...
The classical Heun equation has the form {Q(z)d(2)/dz(2) + P(z)d/dz + V(z)} S(z) = 0. where Q(z) is ...
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