MEAN VALUE THEOREM FOR HOLOMORPHIC FUNCTIONS


ÇAKMAK D. , Tiryaki A.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2012
  • Title of Journal : ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

Abstract

This article presents a generalization of Myers' theorem and when the boundary assumption f' (a) - f' (b) is removed, and to prove this result for holomorphic functions of one complex variable. After that, the equivalence of Rolle's and mean value theorems in the complex plane are proved.