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

Rabha W. Ibrahim; Muhammad Zaini Ahmad; Hiba F. Al-Janaby

Displaying similar documents to “Upper and lower bounds of integral operator defined by the fractional hypergeometric function”

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...

Subordination and superordination for certain analytic functions containing fractional integral.

Ibrahim, R.W., Darus, M., Momani, S. (2009)

Surveys in Mathematics and its Applications

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On certain subclasses of analytic functions involving a linear operator

J. Patel, G. P. Mohapatra (2002)

Annales Polonici Mathematici

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A certain general class 𝓢(a,c,A,B) of analytic functions involving a linear operator is introduced. The objective is to investigate various properties and characteristics of this class. Several applications of the results (obtained here) to a class of fractional calculus operators are also considered. The results contain some of the earlier work in univalent function theory.

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.