Displaying similar documents to “Generalized fractional calculus to a subclass of analytic functions for operators on Hilbert space.”

Third-order differential subordination and superordination involving a fractional operator

Rabha W. Ibrahim, Muhammad Zaini Ahmad, Hiba F. Al-Janaby (2015)

Open Mathematics

Similarity:

The third-order differential subordination and the corresponding differential superordination problems for a new linear operator convoluted the fractional integral operator with the Carlson-Shaffer operator, are investigated in this study. The new operator satisfies the required first-order differential recurrence (identity) relation. This property employs the subordination and superordination methodology. Some classes of admissible functions are determined, and these significant classes...

On subordination for classes of non-Bazilevič type

Rabha Ibrahim, Maslina Darus, Nikola Tuneski (2010)

Annales UMCS, Mathematica

Similarity:

We give some subordination results for new classes of normalized analytic functions containing differential operator of non-Bazilevič type in the open unit disk. By using Jack's lemma, sufficient conditions for this type of operator are also discussed.

On Janowski starlike functions.

Çaglãr, M., Polatoglũ, Y., Şen, A., Yavuz, E., Owa, S. (2007)

Journal of Inequalities and Applications [electronic only]

Similarity:

Some fractional integral formulas for the Mittag-Leffler type function with four parameters

Praveen Agarwal, Juan J. Nieto (2015)

Open Mathematics

Similarity:

In this paper we present some results from the theory of fractional integration operators (of Marichev- Saigo-Maeda type) involving the Mittag-Leffler type function with four parameters ζ , γ, Eμ, ν[z] which has been recently introduced by Garg et al. Some interesting special cases are given to fractional integration operators involving some Special functions.