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New extensions for a theorem by Mocanu by Shiraishi, Hitoshi; Owa, Shigeyoshi is a scholarly article available to read on EtoBox.

What is New extensions for a theorem by Mocanu about?

For analytic functions f(z) in the open unit disk U with f(0)=f'(0)-1=f"(0)=0, P. T. Mocanu (Mathematica (Cluj), 42(2000)) has considered some sufficient arguments of f'(z)+zf"(z) for |\arg(zf'(z)/f(z))|<\pi\mu/2. The object of the present paper is to discuss those probrems for f(z) with f"(0)=f"'(0)=...=f^{(n)}(0)=0 and f^{(n+1)}(0) \ne 0.

Author

Shiraishi, Hitoshi; Owa, Shigeyoshi

Published

2013

Language

EN