On a certain differential inequality and applications for generalized special functions. (English) Zbl 1499.30038
Summary: The purpose of this work is to present simple geometrical approaches for solving problems of the theory of differential inequalities and to obtain new relations associated with some differential inequalities in the open unit disc. As an application of the main results we have obtained sufficient conditions for the normalized form of generalized Struve and Wright functions to belong to the class of functions with bounded turning.
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 |
| 30C55 | General theory of univalent and multivalent functions of one complex variable |
Keywords:
analytic function; convex and starlike function; differential subordination; bounded turning function; Struve and Wright functionReferences:
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