Some properties of certain meromorphic close-to-convex functions (Q427643)

Let \(\Sigma\) be the class of functions that are analytic in the punctured open unit disk and let \(g\in\Sigma\) be such that NEWLINE\[NEWLINE\mathrm{Re}\frac{zf'(z)}{f(z)}<-\frac12NEWLINE\]NEWLINE for \(|z|<1\). In this paper the authors study a subclass of meromorphic close-to-convex functions \(f\in\Sigma\) satisfying NEWLINE\[NEWLINE\mathrm{Re}\frac{f'(z)}{g(z)g'(z)}>0NEWLINE\]NEWLINE and obtain some coefficient inequalities, convolution property, distortion property and radius of meromorphic convexity.