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- Title
LINEAR OPERATOR ASSOCIATED WITH THE GENERALIZED FRACTIONAL DIFFERENTIAL OPERATOR.
- Authors
IBRAHIM, RABHA W.; SOKÓŁ, JANUSZ
- Abstract
In this note, we define a generalized linear operator using the generalized fractional differential operator. By employing this operator together withe the Ces`aro partial sums, we impose starlike class of analytic functions depending on the subordination relation in the unit disk. We shall show that the functions in this class imply that the Libera-Pascu integral operator is also in the class. Moreover, we discus some other properties of convex functions such as convolution and inclusion properties.
- Subjects
DIFFERENTIAL operators; MATHEMATICAL convolutions; LINEAR operators; FRACTIONAL differential equations; INTEGRAL operators; ANALYTIC functions
- Publication
Miskolc Mathematical Notes, 2016, Vol 17, Issue 1, p339
- ISSN
1787-2405
- Publication type
Article
- DOI
10.18514/MMN.2016.1199