On a Mocanu type generalization of the Kaplan class K(α, β) of analytic functions
K. S. Padmanabhan, R. Parvatham, S. Radha (1988)
Annales Polonici Mathematici
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K. S. Padmanabhan, R. Parvatham, S. Radha (1988)
Annales Polonici Mathematici
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M. Aouf, A. Shamandy, A. Mostafa, S. Madian (2010)
Annales UMCS, Mathematica
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Let A denote the class of analytic functions with the normalization f(0) = f'(0) - 1 = 0 in the open unit disc U = {z : |z| < 1}. Set [...] and define ∞nλ, μ in terms of the Hadamard product [...] . In this paper, we introduce several subclasses of analytic functions defined by means of the operator Inλ, μ A → A, given by [...] . Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.
Kwon, Oh Sang, Owa, Shigeyoshi (2002)
International Journal of Mathematics and Mathematical Sciences
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Ibrahim, Alawiah, Owa, Shigeyoshi, Darus, Maslina, Nakamura, Yayoi (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Cho, Nak Eun (1993)
International Journal of Mathematics and Mathematical Sciences
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K. S. Padmanabhan (1972)
Annales Polonici Mathematici
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Mohamed K. Aouf, Tamer M. Seoudy (2010)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Some of our results improve and generalize previously known results.
Mohamed Aouf, Rabha El-Ashwah (2009)
Annales UMCS, Mathematica
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By making use of Cho-Kwon-Srivastava operator, we obtain some subordinations and superordinations results for certain normalized analytic functions.
Mohamed Aouf, Tamer Seoudy (2010)
Annales UMCS, Mathematica
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In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Some of our results improve and generalize previously known results.
Liu, Jinlin (1997)
International Journal of Mathematics and Mathematical Sciences
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Aouf, M. K., Shamandy, A., Mostafa, A. O., Madian, S. M. (2011)
Mathematica Balkanica New Series
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2000 Mathematics Subject Classification: 30C45
Cho, Nak Eun, Kim, In Hwa (2009)
Journal of Inequalities and Applications [electronic only]
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Kwon, Oh Sang, Cho, Nak Eun (2007)
Journal of Inequalities and Applications [electronic only]
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Ratti, J.S. (1980)
International Journal of Mathematics and Mathematical Sciences
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Basem Aref Frasin, Gangadharan Murugusundaramoorthy (2020)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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In this paper, we derive several subordination results and integral means result for certain class of analytic functions defined by means of q-differential operator. Some interesting corollaries and consequences of our results are also considered.
Mohamed Aouf, Rabha El-Ashwah (2009)
Annales UMCS, Mathematica
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Let A denote the class of analytic functions with normalization [...] in the open unit disk [...] Set [...] and define [...] in terms of the Hadamard product [...] In this paper, we introduce several new subclasses of analytic functions defined by means of the operator [...] [...] .Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.