On a new Subclass of Analytic P-valent Functions
Shigeyoshi Owa (1984)
Publications de l'Institut Mathématique
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Displaying similar documents to “Some operational techniques in the theory of analytic functions”
On a new Subclass of Analytic P-valent Functions
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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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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Generalized fractional calculus to a subclass of analytic functions for operators on Hilbert space.
Kim, Yong Chan, Choi, Jae Ho, Lee, Jin Seop (1998)
International Journal of Mathematics and Mathematical Sciences
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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.
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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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...
New classes of distortion theorems for certain subclasses of analytic functions involving certain fractional derivatives
R.K. Raina, Mamta Bolia (1998)
Annales mathématiques Blaise Pascal
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Boundary value problems for Hadamard-Caputo implicit fractional differential inclusions with nonlocal conditions
Ahmed Zahed, Samira Hamani, John R. Graef (2021)
Archivum Mathematicum
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In this paper, the authors establish sufficient conditions for the existence of solutions to implicit fractional differential inclusions with nonlocal conditions. Both of the cases of convex and nonconvex valued right hand sides are considered.
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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Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators
Erhan Set, Abdurrahman Gözpinar (2016)
Topological Algebra and its Applications
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In this present work, the authors establish a new integral identity involving generalized fractional integral operators and by using this fractional-type integral identity, obtain some new Hermite-Hadamard type inequalities for functions whose first derivatives in absolute value are convex. Relevant connections of the results presented here with those earlier ones are also pointed out.
Some results associated with fractional calculus operators involving Appell hypergeometric function.
Raina, R.K. (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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On a partial Hadamard fractional integral inclusion
Aurelian Cernea (2016)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We study a class of nonconvex Hadamard fractional integral inclusions and we establish some Filippov type existence results.