Convergence in $L^p[0,2\pi]$-metric of logarithmic derivative and angular $\upsilon$-density for zeros of entire function of slowly growth

  • M.R. Mostova Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
  • M.V. Zabolotskyj Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
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 $\upsilon$-density for zeros of entire function of zero order is equivalent to convergence in $L^p[0,2\pi]$-metric of its  logarithmic derivative.

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How to Cite
(1)
Mostova M., Zabolotskyj M. Convergence in $L^p[0,2\pi]$-Metric of Logarithmic Derivative and Angular $\upsilon$-Density for Zeros of Entire Function of Slowly Growth. Carpathian Math. Publ. 2015, 7 (2), 209-214.