electronic journal of dierential equations vol 2012 2012 no 34 pp 1 6 issn 1072 6691 url http ejde math txstate edu or http ejde math unt edu ftp ejde ...
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...Electronic journal of dierential equations vol no pp issn url http ejde math txstate edu or unt ftp mean value theorem for holomorphic functions devrimc akmak aydintiryaki abstract this article presents a generalization myers and when the boundary assumption f b is removed to prove result one complex variable after that equivalence rolle s theorems in plane are proved introduction we know following two results usually covered rst semester calculus course used solve great variety problems optimization economics etc let be continuous function on closed interval dierence between values at endpoints if derivative exists can estimated by using where approximation good small fact just tangent line takes form x with replaced actually exact formula c evaluated suitable point rather than end here assume dierentiable every choice depends particular known as importance mathematical analysis meanvaluetheorem real then there such reduces which also another most fundamental mathematics subject class...