Geodesic
Mean value theorem for holomorphic functions
Electronic Journal of Differential Equations, Tome 2012 (2012).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 39B22, 26A24
Keywords: rolle's theorem, mean value theorem, flett's theorem, holomorphic function 
@article{EJDE_2012__2012__a73,
     author = {\c{C}akmak, Devrim and Tiryaki, Aydin},
     title = {Mean value theorem for holomorphic functions},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2012},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a73/}
}
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Çakmak, Devrim; Tiryaki, Aydin. Mean value theorem for holomorphic functions. Electronic Journal of Differential Equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a73/