A generalization of the Lindelöf theorem

  • N. V. Zabolotskii
  • M. M. Sheremeta Львiв. нац. ун-т

Abstract

We present a generalization of the Lindelöf theorem on conditions that should be imposed on the coefficients of the Taylor series of an entire transcendental function ƒ in order that the relation lnMf(r)τrρ,r,Mf(r)=max{|f(r)|:|z|=r} , be satisfied.
Published
25.09.1998
How to Cite
Zabolotskii, N. V., and M. M. Sheremeta. “A Generalization of the Lindelöf Theorem”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 9, Sept. 1998, pp. 1177–1192, https://umj.imath.kiev.ua/index.php/umj/article/view/4834.
Section
Research articles