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Central functions for classes of concave univalent functions

In: Mathematica Slovaca, vol. 66, no. 1
Bappaditya Bhowmik - Karl-Joachim Wirths
Detaily:
Rok, strany: 2016, 141 - 146
Kľúčové slová:
central function, concave univalent function, neighborhoods of analytic functions
O článku:
In this paper we answer a question of Bednarz and Sokól concerning concave univalent functions. We prove that there exist central functions for the classes $Co(p)$ of concave univalent functions with pole at the point $z=p\in (0,1)$. Further, we construct a generalized neighborhood of this central function such that the whole class $Co(p)$ is contained in such neighborhood. We also consider similar questions for the class of functions that are analytic and univalent in the unit disc and for some of its important subclasses.
Ako citovať:
ISO 690:
Bhowmik, B., Wirths, K. 2016. Central functions for classes of concave univalent functions. In Mathematica Slovaca, vol. 66, no.1, pp. 141-146. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0124

APA:
Bhowmik, B., Wirths, K. (2016). Central functions for classes of concave univalent functions. Mathematica Slovaca, 66(1), 141-146. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0124
O vydaní:
Publikované: 1. 2. 2016