Displaying similar documents to “A new class of analytic functions involving certain fractional derivative operators.”

On Janowski starlike functions.

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

Journal of Inequalities and Applications [electronic only]

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Third-order differential subordination and superordination involving a fractional operator

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

Open Mathematics

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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

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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.