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On the real part of the derivatives of certain analytic functions

H. S. GopalakrishnaV. S. Shetiya — 1975

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Sia una funzione analitica nel disco unitario E = { z : | z | < 1 } , f ( 0 ) = 1 . Sia F ( z ) = λ z f ( z ) + ( 1 - λ ) f ( s ) dove λ [ 0 , 1 ] . Se α , β [ 0 , 1 ) e R e f ( z ) > α per z E , allora il raggio del disco nel quale R e F ( z ) > β si determina generalizzando un precedente risultato di S. M. Bajpai-R. S. L. Srivastava e R. J. Libera-A. E. Livingston.

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