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Radius of convexity of partial sums of functions in the close-to-convex family

โœ Scribed by Ponnusamy, Saminathan; Sahoo, Swadesh Kumar; Yanagihara, Hiroshi


Book ID
123094605
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
460 KB
Volume
95
Category
Article
ISSN
0362-546X

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The convex sum of convex functions
โœ Selden Y. Trimble ๐Ÿ“‚ Article ๐Ÿ“… 1969 ๐Ÿ› Springer-Verlag ๐ŸŒ French โš– 110 KB
Partial Sums of Starlike and Convex Func
โœ H Silverman ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 135 KB

Let f z szqร a z be the sequence of partial sums of a function a z that is analytic in z -1 and either starlike of order โฃ or ks 2 k ร„ 4 convex of order โฃ, 0 F โฃ -1. When the coefficients a are ''small,'' we deterk ร„ ลฝ . ลฝ 4 ร„ ลฝ . ลฝ .4 ร„ ลฝ . X ลฝ .4 mine lower bounds on Re f z rf z , Re f z rf z , R