Displaying similar documents to “On certain subclasses of analytic functions involving a linear operator”

Differential sandwich theorems for multivalent functions

O. Ahuja, G. Murugusundaramoorthy, S. Sivasubramanian (2008)

Annales UMCS, Mathematica

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In the present paper, we apply methods based on differential subordinations and superordinations in order to derive several subordination results for multivalent functions involving the Hadamard product.

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. ...

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.

A subordination results for a class of analytic functions defined by q-differential operator

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.

Differential sandwich theorems for analytic functions defined by some linear operators

M. Aouf, A. Mostafa, R. El-Ashwah (2008)

Annales UMCS, Mathematica

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In this investigation, we obtain some applications of first order differential subordination and superordination results involving Dziok-Srivastava operator and other linear operators for certain normalized analytic functions. Some of our results improve previous results.