Let f be an analytic function in the unit disc [Formula: see text] on the complex plane [Formula: see text]. This paper is devoted to obtaining the correspondence between [Formula: see text] and [Formula: see text] at the point w, [Formula: see text], such that [Formula: see text]. We present several applications of the main result. A part of them improve the previous results of this type.
Keywords: analytic functions; boundary behavior; meromorphic functions; univalent functions.