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) these functions will be called concave univalent functions with pole p and the family of these functions

in the plane, where the Riemann mapping function f satisfies the well-known Nehari univalence criterion. Our

Let f be holomorpic and univalent in the unit disc E and f(E) be convex. We consider the conformal

We consider functions f that are meromorphic and univalent in the unit disc D with a simple pole

estimation of f(z2)-f(z1), we obtain sufficient conditions for the univalence of continuously differentiable

univalent harmonic mappings defined in the unit disc.

) these functions will be called concave univalent functions with pole p and the family of these functions

of univalent harmonic mappings so that it is in Hpspaces for 0 < p< 1 / 3.

-Smirnov type domains. By means of the functions in the Zygmund class, we obtain the conditions for the global

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