Solvability of some Abel-type integral equations involving the Gauss hypergeometric function as kernels in the spaces of summable functions (Q2762259)
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: Solvability of some Abel-type integral equations involving the Gauss hypergeometric function as kernels in the spaces of summable functions |
scientific article; zbMATH DE number 1687423
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solvability of some Abel-type integral equations involving the Gauss hypergeometric function as kernels in the spaces of summable functions |
scientific article; zbMATH DE number 1687423 |
Statements
22 July 2002
0 references
one- and multidimensional Abel-type hypergeometrical integral equations
0 references
Gauss hypergeometric function
0 references
pyramidal domains
0 references
generalized pyramidal fractional integral and differential operators
0 references
Solvability of some Abel-type integral equations involving the Gauss hypergeometric function as kernels in the spaces of summable functions (English)
0 references
The paper is devoted to the investigation of certain one- and multidimensional Abel-type integral equations with the Gauss hypergeometric function as their kernels in the space of summable functions. The solution, criterion and sufficient conditions for solvability of one-dimensional equations and of multidimensional equations over certain pyramidal domains are given. On the basis of these results, generalized pyramidal fractional integral and differential operators are introduced and their properties are investigated systematically.
0 references
