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equation whose only singular points, including the point at infinity, are regular singular points is called a Fuchsian ordinary differential equation...

called Fuchsian equation or equation of Fuchsian type. For Fuchsian equations a formal fundamental system exists at any point, due to the Fuchsian theory...

relations between them called connection formulas. A second order Fuchsian equation with n singular points has a group of symmetries acting (projectively)...

In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with other...

solutions of a second-order Fuchsian equation, a differential equation all of whose singularities are regular. The Fuchsian equation has the form d 2 S d z...

of Lazarus Fuchs), as the differential equation satisfied by the singularity of a second order Fuchsian equation with 4 regular singular points on the...

The Fuchsian theory of linear differential equations, which is named after Lazarus Immanuel Fuchs, provides a characterization of various types of singularities...

is the eponym of Fuchsian groups and functions, and the Picard–Fuchs equation. A singular point a of a linear differential equation y ″ + p ( x ) y ′...

cases involving irregular singularities. A Fuchsian system is the system of linear differential equations d y d x = A ( x ) y = ∑ i = 1 n A i x − λ i...

fluid mechanics and hydrodynamics, particularly, the application of Fuchsian equations, as well in the history of mathematics. She was elected a corresponding...

functions, for which the equations reduce to a single matrix-valued first-order complex ordinary differential equation of Fuchsian type. Originally the Russian...

developments of automorphic forms other than modular forms. The case of Γ a Fuchsian group had already received attention before 1900 (see below). The Hilbert...

follows: To show that there always exists a linear differential equation of the Fuchsian class, with given singular points and monodromic group. The problem...

In mathematics, the Beltrami equation, named after Eugenio Beltrami, is the partial differential equation ∂ w ∂ z ¯ = μ ∂ w ∂ z . {\displaystyle {\partial...

deformations for a certain matrix Fuchsian equation; this is a special case of Hilbert's 21st Problem (existence of differential equations with prescribed monodromy)...

constructing the equation (with regular singularities), given a representation, is a Riemann–Hilbert problem. For a regular (and in particular Fuchsian) linear...

research articles on theory of ordinary differential equations including Riemann–Hilbert problem and Fuchsian system. Bolibrukh was born on 30 January 1950 in...

two compact Riemann surfaces of the same genus >1 with the same quasi-Fuchsian group. The measurable Riemann mapping theorem shows more generally that...

surface given as the quotient of the upper half plane or unit disk by a Fuchsian group has a projective structure. Gunning in 1966 describes how this process...

be obtained by Dehn surgeries on the limit manifold. Sequences of quasi-fuchsian surface groups of given genus can converge to a doubly degenerate surface...