Karamazova Gelova, Elena and Tuneski, Nikola (2019) Extension of Some Results of Inequality Relations Involving Multivalent Functions. Southeast Asian Bulletin of Mathematics, 43 (1). pp. 61-66.
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Abstract
In this paper, we extend our results of some inequality relations in which we include multivalent functions in order to give sufficient conditions (unfortunately not sharp) when the following implication holds:
�
� |arg[1 + zf^(p+1)(z)/f^(p)(z)]�|
�
� < απ/2 (z ∈ D) ⇒ �
�|arg zf'(z)/f(z)| �< βπ/2 (z ∈ D).
Here f(z) is a multivalent function, i.e., analytic on the unit disk and of the form f(z) = z^p + a_{p+1}z^p+1 + · · · ,p = 2,3....
| Item Type: | Article |
|---|---|
| Subjects: | Natural sciences > Matematics |
| Divisions: | Faculty of Computer Science |
| Depositing User: | Elena Karamazova Gelova |
| Date Deposited: | 06 Feb 2019 08:03 |
| Last Modified: | 22 Jun 2022 08:22 |
| URI: | https://eprints.ugd.edu.mk/id/eprint/21469 |
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