On a subclass of analytic functions that are starlike with respect to a boundary point involving exponential function (Q2071884)
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scientific article; zbMATH DE number 7466783
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a subclass of analytic functions that are starlike with respect to a boundary point involving exponential function |
scientific article; zbMATH DE number 7466783 |
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On a subclass of analytic functions that are starlike with respect to a boundary point involving exponential function (English)
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31 January 2022
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Summary: In the present exploration, the authors define and inspect a new class of functions that are regular in the unit disc \(\mathfrak{D}:=\{\varsigma \in \mathbb{C} : |\varsigma| < 1\}\), by using an adapted version of the interesting analytic formula offered by Robertson (unexploited) for starlike functions with respect to a boundary point by subordinating to an exponential function. Examples of some new subclasses are presented. Initial coefficient estimates are specified, and the familiar Fekete-Szegö inequality is obtained. Differential subordinations concerning these newly demarcated subclasses are also established.
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class of analytic functions
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star-like functions
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Fekete-Szegő problem
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