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The zeros of certain differential polynomials
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Abdullah Alotaibi
Published/Copyright:
September 25, 2009
Let ƒ be a function transcendental and meromorphic in the plane and let
where a and the coefficients aj and bj are meromorphic functions of small growth compared to ƒ. Under appropriate conditions on the integers m, k and n, estimates are given for the frequency of zeros of ψ in terms of the growth of ƒ.
Received: 2006-November-02
Published Online: 2009-09-25
Published in Print: 2008-02
© Oldenbourg Wissenschaftsverlag
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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
