Abstract
With the notion of weighted sharing of values we investigate the uniqueness problem of meromorphic functions when certain non-linear differential polynomials share the same 1-points. We prove two uniqueness results which significantly rectify, improve and generalize the recent result of L. Liu [10].
AMS 2010: Primary 30D35
Received: 2013-9-25
Accepted: 2014-1-27
Published Online: 2014-2-28
Published in Print: 2014-3-28
©2014 Walter de Gruyter Berlin/Boston
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Artikel in diesem Heft
- Frontmatter
- Embedding theorems corresponding to correct solvability of a linear differential equation of the first order
- On almost asymptotically lacunary statistical equivalent sequences induced probabilistic norms
- A gamma function in two variables
- Mean value theorems for polyharmonic functions: A conjecture by Picone
- The Euler φ-function associated to automorphic L-functions
- Uniqueness and value-sharing of meromorphic functions with finite weight
- Location of the weighted Fermat–Torricelli point on the K-plane (Part II)
- Optimal estimate on Hausdorff dimension of Reifenberg sets
Schlagwörter für diesen Artikel
Uniqueness;
meromorphic function;
fixed point;
nonlinear differential polynomials
Artikel in diesem Heft
- Frontmatter
- Embedding theorems corresponding to correct solvability of a linear differential equation of the first order
- On almost asymptotically lacunary statistical equivalent sequences induced probabilistic norms
- A gamma function in two variables
- Mean value theorems for polyharmonic functions: A conjecture by Picone
- The Euler φ-function associated to automorphic L-functions
- Uniqueness and value-sharing of meromorphic functions with finite weight
- Location of the weighted Fermat–Torricelli point on the K-plane (Part II)
- Optimal estimate on Hausdorff dimension of Reifenberg sets