## Some properties of certain meromorphic close-to-convex functions.(English)Zbl 1252.30015

Let $$\Sigma$$ be the class of functions that are analytic in the punctured open unit disk and let $$g\in\Sigma$$ be such that $\mathrm{Re}\frac{zf'(z)}{f(z)}<-\frac12$ for $$|z|<1$$. In this paper the authors study a subclass of meromorphic close-to-convex functions $$f\in\Sigma$$ satisfying $\mathrm{Re}\frac{f'(z)}{g(z)g'(z)}>0$ and obtain some coefficient inequalities, convolution property, distortion property and radius of meromorphic convexity.

### MSC:

 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) 30C50 Coefficient problems for univalent and multivalent functions of one complex variable
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### References:

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