Generalized Tricomi and Hermite-Tricomi functions (Q426531)
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: Generalized Tricomi and Hermite-Tricomi functions |
scientific article; zbMATH DE number 6045275
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized Tricomi and Hermite-Tricomi functions |
scientific article; zbMATH DE number 6045275 |
Statements
Generalized Tricomi and Hermite-Tricomi functions (English)
0 references
11 June 2012
0 references
The author introduces a differential isomorphism acting on the space of analytic functions of a single variable. By using iterative combinations of these isomorphisms acting on functions of two or three variables, general classes of Tricomi and Hermite-Tricomi functions are introduced which are related to so-called Laguerre-type exponential functions. Mainly using generating functions several properties of these generalized Tricomi and Hermite-Tricomi functions are derived.
0 references
Laguerre-type exponentials
0 references
generating functions
0 references
Tricomi functions
0 references
Hermite-Tricomi functions
0 references
differential isomorphisms
0 references
0 references
