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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Displaying similar documents to “A Class of Univalent Functions Defined by Using Hadamard Product”
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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Some applications of generalized Ruscheweyh derivatives involving a general fractional derivative operator to a class of analytic functions with negative coefficients. I.
Atshan, W.G., Kulkarni, S.R. (2010)
Surveys in Mathematics and its Applications
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Applications of generalized Ruscheweyh derivative to univalent functions with finitely many coefficients.
Juma, A.R.S., Kulkarni, S.R. (2009)
Surveys in Mathematics and its Applications
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Distortion theorems for fractional calculus of certain analytic functions with negative coefficients.
Lee, Sang Keun, Owa, Shigeyoshi, Sekine, Tadayuki, Obradović, Milutin (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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A new class of analytic functions involving certain fractional derivative operators.
Bhatt, S., Raina, R.K. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Characterization properties for starlikeness and convexity of some subclasses of analytic functions involving a class of fractional derivative operators.
Raina, R.K., Nahar, T.S. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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An application of the Ruscheweyh derivatives. II.
Owa, Shigeyoshi (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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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.
Generalized classes of starlike and convex functions of order .
Owa, Shigeyoshi, Shen, C.Y. (1985)
International Journal of Mathematics and Mathematical Sciences
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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. ...