Convergence in Lp[0,2π]-metric of logarithmic derivative and angular υ-density for zeros of entire function of slowly growth

Keywords:
logarithmic derivative, entire function, angular density, Fourier coefficients, slowly increasing function
Published online:
2015-12-15
Abstract
The subclass of a zero order entire function f is pointed out for which the existence of angular υ-density for zeros of entire function of zero order is equivalent to convergence in Lp[0,2π]-metric of its logarithmic derivative.
How to Cite
(1)
Mostova, M.; Zabolotskyj, M. Convergence in Lp[0,2π]-Metric of Logarithmic Derivative and Angular υ-Density for Zeros of Entire Function of Slowly Growth. Carpathian Math. Publ. 2015, 7, 209-214.