ON THE INTEGRAL TRANSFORMATION WITH FOXES N-FUNCTION

Authors
KILBAS AA SHLAPAKOV SA
Citation
Aa. Kilbas et Sa. Shlapakov, ON THE INTEGRAL TRANSFORMATION WITH FOXES N-FUNCTION, Doklady Akademii nauk BSSR, 38(1), 1994, pp. 12-15
Citations number
11
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Doklady Akademii nauk BSSR → ACNP
ISSN journal
0002354X
Volume
38
Issue
1
Year of publication
1994
Pages
12 - 15
Database
ISI
SICI code
0002-354X(1994)38:1<12:OTITWF>2.0.ZU;2-D
Abstract
This article is concerned with the investigation of the integral trans form with the Fox H-function in the kernel. New integral representatio ns for the Fox H-function and for the above transform are proved. The conditions are given when the integral transform with the Fox H-functi on maps the weighted space L(mu,2) = L2((0, infinity); x2mu-1) into L1 -mu,2 and an analogue of the relation of fractional integration by par ts is valid.