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Meromorphic functions whose certain differential polynomials share a small function with finite weight
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Pulak Sahoo
Published/Copyright:
June 1, 2013
Abstract
With the notion of weighted sharing of values we study the uniqueness of meromorphic functions whose certain nonlinear differential polynomials share a small function. Our result improves a recent result due to A. Banerjee [Kyungpook Math. J., 51 (2011), 43–58] and that of the results of J. Xia and Y. Xu [Filomat J. Math., 25 (2011), 185–194].
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
Meromorphic function;
Small function;
Weighted Sharing;
Differential polynomials.
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
