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Mahmood, Tahir; Naeem, Muhammad; Hussain, Saqib; Khan, Shahid; Altinkaya, Şahsene

A subclass of analytic functions defined by using Mittag-Leffler function. (English) Zbl 1467.30010

Honam Math. J. 42, No. 3, 577-590 (2020).
Summary: In this paper, new subclasses of analytic functions are proposed by using Mittag-Leffler function. Also some properties of these classes are studied in regard to coefficient inequality, distortion theorems, extreme points, radii of starlikeness and convexity and obtained numerous sharp results.

Cited in 2 Documents

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C50 Coefficient problems for univalent and multivalent functions of one complex variable

Keywords:

classes of analytic functions in disk; coefficient estimates; star-like functions; convex functions
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References:

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