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Some Properties for Certain Subclasses of Analytic Functions Associated With K−integral Operators

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Date

2020

Journal Title

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Volume Title

Publisher

Erdal Karapinar

Open Access Color

GOLD

Green Open Access

No

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Abstract

In this paper, the k-integral operators for analytic functions defined in the open unit disc U = {z ∈ C: |z| < 1} are introduced. Several new subclasses of analytic functions satisfying certain relations involving these operators are also introduced. Further, we establish the inclusion relation for these subclasses. Next, the integral preserving properties of a k-integral operator satisfied by these newly introduced subclasses are obtained. Some applications of the results are discussed. Concluding remarks are also given. © 2020, Erdal Karapinar. All rights reserved.

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Keywords

Convex Functions, Inclusion Relations, K-Integral Operators, Starlike Functions, Subordination, $k$-integral operators;Starlike functions;Convex functions;Subordination;Inclusion relations, Matematik, Mathematical Sciences

Fields of Science

0101 mathematics, 01 natural sciences

Citation

Abujarad, Eman S. A...et al. (2020). "Some properties for certain subclasses of analytic functions associated with k−integral operators", Advances in the Theory of Nonlinear Analysis and its Applications, Vol. 4, No. 4, pp. 459-482.

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Scopus Q

Q2
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Source

Advances in the Theory of Nonlinear Analysis and its Applications

Volume

4

Issue

4

Start Page

459

End Page

482
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Scopus : 1

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