Analytic functions defined by a product of expressions having geometric meaning. (English) Zbl 1424.30047
Summary: We define a new class, \(\mathcal J_n^\alpha(\beta)\), of analytic functions by a product of certain expressions having geometric meaning. We establish univalence of the new class, obtain its integral representations, sufficient inclusion conditions and coefficient inequalities. Examples are given.
MSC:
| 30C45 | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
Keywords:
Bazilevič functions; product of expressions having geometric meaning; bounded turning; starlike; analytic and univalent functionsReferences:
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