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On the Uniqueness of Meromorphic Functions That Share Two Sets
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Abhijit Banerjee
Published/Copyright:
March 10, 2010
Abstract
Using the notion of weighted and truncated sharings of sets we deal with the problem of uniqueness of meromorphic functions sharing two sets and obtain five theorems which not only improve a recent result of Yi and Lü [Acta Math. Sci. Ser. B Engl. Ed. 24: 83–90, 2004], but also improve and supplement the results of Lin and Yi [Kyungpook Math. J. 43: 73–85, 2003], Yi [Acta Math. Sinica (Chin. Ser.) 45: 75–82, 2002].
Received: 2006-07-13
Published Online: 2010-03-10
Published in Print: 2008-March
© Heldermann Verlag
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Articles in the same Issue
- Functional Equations and μ-Spherical Functions
- On the Uniqueness of Meromorphic Functions That Share Two Sets
- Convergence of the Ishikawa Iterates for Multi-Valued Mappings in Convex Metric Spaces
- The Existence of Solutions for Nonlinear Operator Equations
- A Measure Theoretical Version of the Aleksandrov Theorem
- Coincidence and Fixed Points of Contractive Type Multivalued Maps
- On the 𝐿1-Convergence of Modified Cosine Sums
- On the Approximation Properties of a Class of Convolution Type Nonlinear Singular Integral Operators
- A Metric Deformation to Obtain a Positive/Negative Gaussian Curvature on a Disk
- On Automorphism Groups of ω-Trees
- Growth and Approximation of Entire Harmonic Functions in 𝑅𝑛, 𝑛 > 3
- On Some Properties of the Dirichlet Problem at Resonance
- Gröbner Bases for the Modules Over Noetherian Polynomial Commutative Rings
- Singular 2D Behaviors: Homologies
- Integrating Over the Inverse Image of Functions in the Besov Space
- The Fourth Order of Accuracy Decomposition Scheme for Abstract Hyperbolic Equation
- On a Generalization of Partial Isometries in Banach Spaces
- A Generalized Mandelbrot Set of Polynomials of Type 𝐸𝑑 for Bicomplex Numbers
