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In this work, we define the class $${\mathcal {M}}(\alpha )$$M(α) of normalized analytic functions which satisfy the following two-sided inequality: $$\begin{aligned} 1+\frac{\alpha -\pi }{2\sin \alpha }< {{\mathfrak {R}}}{{\mathfrak {e}}}\left\{ \frac{zf'(z)}{f(z)}\right\} Click to show full abstract
In this work, we define the class $${\mathcal {M}}(\alpha )$$M(α) of normalized analytic functions which satisfy the following two-sided inequality: $$\begin{aligned} 1+\frac{\alpha -\pi }{2\sin \alpha }< {{\mathfrak {R}}}{{\mathfrak {e}}}\left\{ \frac{zf'(z)}{f(z)}\right\}<1+ \frac{\alpha }{2\sin \alpha } \quad |z|<1, \end{aligned}$$1+α-π2sinα
Keywords:
analytic functions;
radius problems;
problems subclasses;
subclasses analytic;
alpha
Journal Title: Complex Analysis and Operator Theory
Year Published: 2017
Link to full text (if available)
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Journal Title: Complex Analysis and Operator Theory
Year Published: 2017
Link to full text (if available)
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recommendations!