Abstract
Let w(z) denote a function meromorphic in the complex plane . In the present article we extend the Proximity Property of a-points to study some other phenomena related to geometry of neighborhoods of the a-points and estimations for derivatives of w(z) and its inverse functions F(z). Particularly we establish that (a) for “good” a-points z i(a, w) of w the magnitudes of are estimated in terms of where u is a given integer >1. Also we introduce so called “inverse meromorphic derivatives” and give above bounds for in terms of .
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