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Meromorphic functions that share one small function DM with their first derivative
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Amer Haider Hussein Al-Khaladi
Published/Copyright:
June 1, 2013
Abstract
In [1] we proved some uniqueness theorems for meromorphic functions that share one nonzero finite value DM (different multiplicities) with their first derivative. In this paper we shall prove that the theorems in [1] are also true if the “value” DM is replaced by “small function” DM.
Published Online: 2013-06
Published in Print: 2013-06
© by Oldenbourg Wissenschaftsverlag, München, Germany
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Articles in the same Issue
- Optimal initial value conditions for local strong solutions of the Navier–Stokes equations in exterior domains
- Hypergeometric summation representations of the Stieltjes constants
- Meromorphic functions whose certain differential polynomials share a small function with finite weight
- Convolutions of slanted half-plane harmonic mappings
- Meromorphic functions that share one small function DM with their first derivative
- A product theorem for the Euler and the Natarajan methods of summability
- Hermite–Hadamard type integral inequalities for geometric-arithmetically s-convex functions
Keywords for this article
Nevanlinna theory;
Small function;
Uniqueness theorem;
Share DM.
Articles in the same Issue
- Optimal initial value conditions for local strong solutions of the Navier–Stokes equations in exterior domains
- Hypergeometric summation representations of the Stieltjes constants
- Meromorphic functions whose certain differential polynomials share a small function with finite weight
- Convolutions of slanted half-plane harmonic mappings
- Meromorphic functions that share one small function DM with their first derivative
- A product theorem for the Euler and the Natarajan methods of summability
- Hermite–Hadamard type integral inequalities for geometric-arithmetically s-convex functions