Karamazova Gelova, Elena and Tuneski, Nikola (2016) Some inequality relations involving multivalent functions. In: 11th International Symposium Geometric Function Theory And Applications, 24-27 August, 2015, Ohrid, Republic of Macedonia.
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Abstract
Let f(z) be a multivalent function, i.e., analytic on the unit disk and of the form f(z)=z^p + a_p+1z^p+1 +...�, p=2,3,.... In this work we give su�fficient conditions (unfortunately not sharp) when the following implications hold:
�|arg �[1 +zf^(p+1)(z)/f^(p)(z)]|<�(alpha pi)/2 (z in D)
�implies
|arg zf^(p)(z)/f^(p-1)(z)|<(beta_1 pi)/2 (z in D)
and
|arg zf^(p)(z)/f^(p-1)(z)|<(beta_1 pi)�/2 (z in D)
�implies
|arg zf^(p-1)(z)/f^(p-2)(z)|<�(beta_2 pi)�/2 (z in D).
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Subjects: | Natural sciences > Matematics |
| Divisions: | Faculty of Computer Science |
| Depositing User: | Elena Karamazova Gelova |
| Date Deposited: | 26 Sep 2016 12:31 |
| Last Modified: | 22 Jun 2022 09:24 |
| URI: | https://eprints.ugd.edu.mk/id/eprint/16288 |
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