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Journal ArticleDOI

Meromorphe Funktionen, die mit ihrer Ableitung Werte teilen

Erwin Mues, +1 more
- 01 Jun 1979 - 
- Vol. 29, Iss: 2, pp 195-206
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TLDR
In this article, it was shown that the functions f(z)=αez are the only nonconstant entire (meromorphic) functions which share two (three) distinct finite values with their derivative.
Abstract: 
In this paper it is shown that the functions f(z)=αez are the only nonconstant entire (meromorphic) functions which share two (three) distinct finite values with their derivative.

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Journal ArticleDOI

On Entire Functions which Share One Value CM with their First Derivative

Rainer Brück
- 01 Aug 1996 - 
TL;DR: In this article, the authors consider the case that a non-constant entire function and its associated function share only one value counting multiplicity, where appropriate restrictions on the growth of ǫ are assumed.
Journal ArticleDOI

Entire functions that share one value with one or two of their derivatives

Gary G. Gundersen, +1 more
- 01 Jul 1998 - 
TL;DR: In this article, the authors prove uniqueness theorems for functions of finite order that share one finite value with one or two of their derivatives, i.e., functions of the form
Journal ArticleDOI

Uniqueness of meromorphic functions sharing values with their shifts

Janne Heittokangas, +3 more
- 01 Jan 2011 - 
TL;DR: In this article, it was shown that any non-constant meromorphic function with at least three values counting multiplicities with its shift is a periodic function with period c. The assumption on the order of f can be dropped if f shares two shifts in different directions.
Journal ArticleDOI

Sharing values and normality

Wilhelm Schwick
- 01 Jul 1992 - 
TL;DR: In this article, the authors make an attempt to prove normality criteria using conditions known from sharing value theorems (two meromorphic functions f and g share a e I~ iff f -1 ({a}) = 0 -1 {a}).
Journal ArticleDOI

Meromorphe funktionen, die mit ihrer ersten und zweiten ableitung einen endlichen wert teilen

Gerhard Jank, +2 more
- 01 Jun 1986 - 
TL;DR: In this paper, the following theorem is proved: if a nonconstant meromorphic function f shares a finite non-zero value (counting multiplicities) with f′ and f″ then f′ = f.