Coalescence of two regular singularities into one regular singularity for the linear ordinary differential equation (Q1868359)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Coalescence of two regular singularities into one regular singularity for the linear ordinary differential equation |
scientific article; zbMATH DE number 1901426
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coalescence of two regular singularities into one regular singularity for the linear ordinary differential equation |
scientific article; zbMATH DE number 1901426 |
Statements
Coalescence of two regular singularities into one regular singularity for the linear ordinary differential equation (English)
0 references
27 April 2003
0 references
The author studies the process of coalescing of two regular singular points of the second-order linear ODE \[ z(z+ \varepsilon) \frac {d^2}{dz ^2} w(z) + P (z, \varepsilon)\frac d {dz}w(z) + Q (z, \varepsilon) w(z) = 0, \] as \(\varepsilon\) goes to infinity, into a single singularity. This problem is discussed in terms of connection matrices and solutions to the corresponding equations.
0 references
regular singularities
0 references
coalescence of singularities
0 references
connection matrices
0 references
