COMPOSITIONS OF GENERALIZED FRACTIONAL-IN TEGRATION OPERATORS WITH FOX H-FUNCTION AND A DIFFERENTIAL OPERATOR IN AXISYMMETRICAL POTENTIAL-THEORY

Authors
SAIGO M KILBAS AA
Citation
M. Saigo et Aa. Kilbas, COMPOSITIONS OF GENERALIZED FRACTIONAL-IN TEGRATION OPERATORS WITH FOX H-FUNCTION AND A DIFFERENTIAL OPERATOR IN AXISYMMETRICAL POTENTIAL-THEORY, Doklady Akademii nauk BSSR, 40(6), 1996, pp. 12-17
Citations number
15
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Doklady Akademii nauk BSSR → ACNP
ISSN journal
0002354X
Volume
40
Issue
6
Year of publication
1996
Pages
12 - 17
Database
ISI
SICI code
0002-354X(1996)40:6<12:COGFTO>2.0.ZU;2-T
Abstract
The explicit composition formulae of the generalized fractional integr ation operators with Fox' H-function of general form and a differentia l operator of axisymmetric potential theory on McBride's spaces of tes ted and generalized functions are proved. Similar results for the gene ralized fractional integrals with Gauss hypergeometric function are gi ven and applications to solving the linear differential equations are indicated.