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Displaying similar documents to “Subordination and superordination for certain analytic functions containing fractional integral.”

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.

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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On subordination for classes of non-Bazilevic type

Rabha W. Ibrahim, Maslina Darus, Nikola Tuneski (2010)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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

Upper and lower bounds of integral operator defined by the fractional hypergeometric function

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

Open Mathematics

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In this article, we impose some studies with applications for generalized integral operators for normalized holomorphic functions. By using the further extension of the extended Gauss hypergeometric functions, new subclasses of analytic functions containing extended Noor integral operator are introduced. Some characteristics of these functions are imposed, involving coefficient bounds and distortion theorems. Further, sufficient conditions for subordination and superordination are illustrated. ...