On Entire Functions Belonging to a Generalized Class of Convergence

  • Yu. M. Gal'
  • O. M. Mulyava
  • M. M. Sheremeta Львiв. нац. ун-т

Abstract

In terms of Taylor coefficients and distribution of zeros, we describe the class of entire functions f defined by the convergence of the integral \(\int\limits_{r_0 }^\infty {\frac{{\gamma (\ln M_{f} (r))}}{{r^{\rho + 1} }}} dr\) , where γ is a slowly increasing function.
Published
25.04.2002
How to Cite
Gal’Y. M., MulyavaO. M., and SheremetaM. M. “On Entire Functions Belonging to a Generalized Class of Convergence”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 54, no. 4, Apr. 2002, pp. 439-46, https://umj.imath.kiev.ua/index.php/umj/article/view/4082.
Section
Research articles