p-Subordination chains and p-valence integral operators

Authors

ERHAN DENİZ
HALİT ORHAN
MURAT ÇAĞLAR

DOI

10.3906/mat-1505-9

Abstract

In the present investigation we obtain some sufficient conditions for the analyticity and the $p$-valence of an integral operator in the unit disk $\mathbb{D}$. Using these conditions we give some applications for a few different integral operators. The significant relationships and relevance to other results are also given. A number of known univalent conditions would follow upon specializing the parameters involved in our main results.

Keywords

Univalent functions, $p$-valent function, $p$-subordination chain, $p$-valence criterion

First Page

956

Last Page

968

Recommended Citation

DENİZ, ERHAN; ORHAN, HALİT; and ÇAĞLAR, MURAT (2017) "p-Subordination chains and p-valence integral operators," Turkish Journal of Mathematics: Vol. 41: No. 4, Article 15. https://doi.org/10.3906/mat-1505-9
Available at: https://journals.tubitak.gov.tr/math/vol41/iss4/15