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Radii of Convexity and Strong Starlikeness for Some Classes of Analytic Functions

โœ Scribed by A. Gangadharan; V. Ravichandran; T.N. Shanmugam

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
191 KB
Volume
211
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

Let z be an analytic function with positive real part on โŒฌ s z; z -1 with ลฝ .

ลฝ . 0 s 1, ะˆ 0 ) 0 which maps the unit disk โŒฌ onto a region starlike with respect ลฝ . to 1 and symmetric with respect to the real axis. Let ST denote the class of ลฝ . ลฝ . ลฝ . ลฝ . ลฝ . ลฝ . analytic functions f z with f 0 s 0 s f ะˆ 0 y 1 for which zf ะˆ z rf z $ z , z g โŒฌ. The radius of convexity of order โค of uniformly convex functions and the ลฝ . radius of starlikeness of order โค of the class ST are computed. The radii of strong starlikeness of certain classes of analytic functions are computed. แฎŠ 1997

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