Bulletin of the Belgian Mathematical Society - Simon Stevin

On a Certain Subclass of Multivalent Analytic Functions Defined by the Liu-Owa Operator

M. K. Aouf and T. M Seoudy

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Abstract

By making use of the principle of subordination between analytic functions, we introduce a certain subclass of multivalent analytic functions defined by the Liu-Owa operator. Results such as subordination and superordination properties, convolution properties, distortion theorems and inequality properties, are proved.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 18, Number 5 (2011), 941-955.

Dates
First available in Project Euclid: 13 December 2011

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1323787177

Digital Object Identifier
doi:10.36045/bbms/1323787177

Mathematical Reviews number (MathSciNet)
MR2918656

Zentralblatt MATH identifier
1236.30009

Subjects
Primary: 30C45: Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)

Keywords
Analytic functions multivalent functions, subordination superordination linear operator Hadamard product (or convolution) starlike function convex function

Citation

Aouf, M. K.; Seoudy, T. M. On a Certain Subclass of Multivalent Analytic Functions Defined by the Liu-Owa Operator. Bull. Belg. Math. Soc. Simon Stevin 18 (2011), no. 5, 941--955. doi:10.36045/bbms/1323787177. https://projecteuclid.org/euclid.bbms/1323787177


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