On a class of schlicht functions.

A Coefficient Inequality for Schlicht Functions

The Schwarzian Derivative and Schlicht Functions

It is customary to formulate the inequalities of the "Verzerrungssatz" type for analytic functions w—f(z), schlicht in the unit circle, with reference to a specific normalization. The two normalizations mainly used are: (a) f(z) is finite in \z\ < 1 , /(O) = 0 , /'(O) = 1; (b) ƒ(z) has a pole at 2 = 0 with the residue 1. If we want to obtain inequalities which are independent of any particular ...

The Coefficients of Schlicht and Allied Functions

regular and schlicht (univalent) in | z | < 1, i.e. assuming distinct values w for distinct values of z. The functions f(z) e S map | z | < 1 1 : 1 conformally onto a simply connected domain D in the w plane. During the last international Congress at Harvard Professors Schaeffer and Spencer [12] reported on the progress, largely due to their own work, on the so-called coefficient problem for S,...

study of hash functions based on chaotic maps

توابع درهم نقش بسیار مهم در سیستم های رمزنگاری و پروتکل های امنیتی دارند. در سیستم های رمزنگاری برای دستیابی به احراز درستی و اصالت داده دو روش مورد استفاده قرار می گیرند که عبارتند از توابع رمزنگاری کلیددار و توابع درهم ساز. توابع درهم ساز، توابعی هستند که هر متن با طول دلخواه را به دنباله ای با طول ثابت تبدیل می کنند. از جمله پرکاربردترین و معروف ترین توابع درهم می توان توابع درهم ساز md4, md...

Schlicht regions for entire and meromorphic functions

Let f : C → C be a meromorphic function. We study the size of the maximal disc in C with respect to spherical metric, in which a singlevalued branch of f−1 exists. The problem is related to normality and type criteria. Best possible lower estimates of the size of such discs are obtained for entire functions and a class of meromorphic functions containing all elliptic functions. An estimate for ...