A note on multivalent functions (Q5899712)

Let \(p\geq 2\), and let \[ f(z)=z^ p+\sum^{\infty}_{n=p+1}a_ nz^ n \] be analytic in the unit disk \(E=\{z:\) \(| z| <1\}\). In this paper the author uses a subordination argument to show that if \[ | \arg f^{(p)}(z)| <(3/4)\pi \quad in\quad E \] then f(z) is p-valent in E.