Article
Licensed
Unlicensed
Requires Authentication
On the value distribution of two differential monomials
-
Subhas S. Bhoosnurmath
Published/Copyright:
September 25, 2009
In this paper, the value distribution of the two differential monomials Φƒnƒ'[ƒ(k)]p and Φƒn-1ƒ(k) are considered, where ƒ is a transcendental meromorphic function, Φ is a non-zero meromorphic function such that T(r,Φ)=S(r, ƒ) as r→+∞, possibly outside a set of r of finite linear measure, n, k and p are positive integers. We also prove K. W. Yu's conjecture [11] in an improved form.
Keywords: Derivatives; inequality; meromorphic functions; small functions; value distribution; zeros
Received: 2007-February-20
Revised: 2007-August-22
Published Online: 2009-09-25
Published in Print: 2008-02
© Oldenbourg Wissenschaftsverlag
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- The Dirichlet problem for graphs of prescribed anisotropic mean curvature in ℝn+1
- On the value distribution of two differential monomials
- The completely indeterminate Caratheodory matrix problem in the Rq[a, b] class
- Sum of the periodic zeta-function over the nontrivial zeros of the Riemann zeta-function
- On representations of Stokes flows and of the solutions of Navier's equation for linear elasticity
- Asymptotic analysis of generalized Hermite polynomials
- Some convergence theorems for Lebesgue integrals
- The zeros of certain differential polynomials
Keywords for this article
Derivatives;
inequality;
meromorphic functions;
small functions;
value distribution;
zeros
Articles in the same Issue
- The Dirichlet problem for graphs of prescribed anisotropic mean curvature in ℝn+1
- On the value distribution of two differential monomials
- The completely indeterminate Caratheodory matrix problem in the Rq[a, b] class
- Sum of the periodic zeta-function over the nontrivial zeros of the Riemann zeta-function
- On representations of Stokes flows and of the solutions of Navier's equation for linear elasticity
- Asymptotic analysis of generalized Hermite polynomials
- Some convergence theorems for Lebesgue integrals
- The zeros of certain differential polynomials
