Geodesic
Certain Properties of Fractional Calculus Operators Associated with Generalized Mittag-Leffler Function
Fractional calculus and applied analysis, Tome 8 (2005) no. 2, pp. 141-154.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

It has been shown that the fractional integration and differentiation operators transform such functions with power multipliers into the functions of the same form. Some of the results given earlier by Kilbas and Saigo follow as special cases.
Keywords: Mittag-Leffler Function, Fractional Calculus, Confluent Hypergeometric Function, Konhauser Polynomials, 26A33, 33E12, 33C20 
@article{FCAA_2005_8_2_a3,
     author = {Saxena, R. K. and Saigo, Megumi},
     title = {Certain {Properties} of {Fractional} {Calculus} {Operators} {Associated} with {Generalized} {Mittag-Leffler} {Function}},
     journal = {Fractional calculus and applied analysis},
     pages = {141--154},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/FCAA_2005_8_2_a3/}
}
TY  - JOUR
AU  - Saxena, R. K.
AU  - Saigo, Megumi
TI  - Certain Properties of Fractional Calculus Operators Associated with Generalized Mittag-Leffler Function
JO  - Fractional calculus and applied analysis
PY  - 2005
SP  - 141
EP  - 154
VL  - 8
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FCAA_2005_8_2_a3/
LA  - en
ID  - FCAA_2005_8_2_a3
ER  - 
%0 Journal Article
%A Saxena, R. K.
%A Saigo, Megumi
%T Certain Properties of Fractional Calculus Operators Associated with Generalized Mittag-Leffler Function
%J Fractional calculus and applied analysis
%D 2005
%P 141-154
%V 8
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FCAA_2005_8_2_a3/
%G en
%F FCAA_2005_8_2_a3
Saxena, R. K.; Saigo, Megumi. Certain Properties of Fractional Calculus Operators Associated with Generalized Mittag-Leffler Function. Fractional calculus and applied analysis, Tome 8 (2005) no. 2, pp. 141-154. http://geodesic.mathdoc.fr/item/FCAA_2005_8_2_a3/