Turkish Journal of Mathematics
DOI
10.3906/mat-1807-86
Abstract
Let $\mathcal{A}(n)$ be the class of functions $$f(z)=a_nz^n + a_{n+1}z^{n+1}+\cdots (n\in \mathbb{N}),$$ which are analytic in the open unit disk $\mathbb{U}$, where $a_n \neq 0$. For $f(z)\in \mathcal{A}(n)$, Miller and Mocanu in 1978 showed a very interesting result for $f(z)$. Applying the result due to Miller and Mocanu, we would like to consider some new results for such functions. Our results in this paper are generalizations for results by Nunokawa in 1992.
Keywords
Analytic function, the class $\mathcal{S}(n, \alpha)$, the class $\mathcal{K}(n, \alpha)$
First Page
279
Last Page
283
Recommended Citation
DUMAN, EMEL YAVUZ and OWA, SHIGEYOSHI
(2019)
"Notes on certain analytic functions,"
Turkish Journal of Mathematics: Vol. 43:
No.
1, Article 22.
https://doi.org/10.3906/mat-1807-86
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss1/22
