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On Certain Subclasses of Analytic Functions in Geometric Function Theory of a Complex Variable

Thesis Info

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Author

Yousaf, Kamran

Supervisor

Khalida Inayat Noor

Program

PhD

Institute

COMSATS University Islamabad

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2013

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/handle/123456789/1624

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726793941

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On Certain Subclasses of Analytic Functions in Geometric Function Theory of a Complex Variable In this thesis, we define some new subclasses of analytic functions using the techniques of convolution, differential subordination and the concepts of conic domains, bounded boundary rotation and bounded radius rotation. We study these new classes thoroughly and investigate several coefficient results, radii problems, convolution preserving properties, inclusion results, integral preserving mapping properties along with various other useful applications. Most of these results are sharp. Various known and new results are also derived as special cases from our results.
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