Mean value theorem for holomorphic functions

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 ar...

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Bibliographic Details
Main Authors:	Devrim Cakmak, Aydin Tiryaki
Format:	Article
Language:	English
Published:	Texas State University 2012-02-01
Series:	Electronic Journal of Differential Equations
Subjects:	Rolle's theorem mean value theorem Flett's theorem holomorphic function
Online Access:	http://ejde.math.txstate.edu/Volumes/2012/34/abstr.html

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spelling	doaj-8d6e5ced3fce411a9fcd1780a84a1b442020-11-24T23:01:43ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-02-01201234,16Mean value theorem for holomorphic functionsDevrim CakmakAydin TiryakiThis 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. http://ejde.math.txstate.edu/Volumes/2012/34/abstr.htmlRolle's theoremmean value theoremFlett's theoremholomorphic function
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Devrim Cakmak Aydin Tiryaki
spellingShingle	Devrim Cakmak Aydin Tiryaki Mean value theorem for holomorphic functions Electronic Journal of Differential Equations Rolle's theorem mean value theorem Flett's theorem holomorphic function
author_facet	Devrim Cakmak Aydin Tiryaki
author_sort	Devrim Cakmak
title	Mean value theorem for holomorphic functions
title_short	Mean value theorem for holomorphic functions
title_full	Mean value theorem for holomorphic functions
title_fullStr	Mean value theorem for holomorphic functions
title_full_unstemmed	Mean value theorem for holomorphic functions
title_sort	mean value theorem for holomorphic functions
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2012-02-01
description	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.
topic	Rolle's theorem mean value theorem Flett's theorem holomorphic function
url	http://ejde.math.txstate.edu/Volumes/2012/34/abstr.html
work_keys_str_mv	AT devrimcakmak meanvaluetheoremforholomorphicfunctions AT aydintiryaki meanvaluetheoremforholomorphicfunctions
_version_	1725638923510611968

Mean value theorem for holomorphic functions

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