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On meromorphic functions that share one value with their derivative
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Amer H.H. Al-Khaladi
Published/Copyright:
July 29, 2016
Abstract
The following theorem has been proved by R.Brück. If a non-constant entire function ƒ and its derivative ƒ′ share the value 1 CM (counting multiplicities), and if 
, then ƒ′- 1 = c ( ƒ - 1 ) for some nonzero constant c . In this paper we shall prove that the above result is also true when ƒ is a non-constant meromorphic function.
Published Online: 2016-7-29
Published in Print: 2005-5-1
© 2016 Oldenbourg Wissenschaftsverlag GmbH, Rosenheimer Str. 145, 81671 München
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Articles in the same Issue
- Masthead
- A nonlinear-stability analysis of second-order fluid in porous medium in presence of magnetic field
- Convergence rate for some additive function on random permutations
- The converse of the Fabry-Pólya theorem on singularities of lacunary power series
- On meromorphic functions that share one value with their derivative
- Interrelations Between the Taylor Coefficients of a Matricial Carathéodory Function and Its Cayley Transform
- Domains of uniform convergence of real rational chebyshev approximants
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