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Mahmood, Shahid; Sokół, Janusz

New subclass of analytic functions in conical domain associated with Ruscheweyh \(q\)-differential operator. (English) Zbl 1376.30008

Result. Math. 71, No. 3-4, 1345-1357 (2017).
Summary: The core object of this paper is to define and study a new class of analytic functions using the Ruscheweyh \(q\)-differential operator. We also investigate a number of useful properties of this class such structural formula and coefficient estimates for functions. We consider also the Fekete-Szegö problem in the class, we give some subordination results, and some other corollaries.

Cited in 32 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:

subordination; functions with positive real part; Ruscheweyh \(q\)-differential operator; conic domain
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References:

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