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Radii of starlikeness and convexity for special classes of analytic functions

โœ Scribed by Dorothy Browne Shaffer

Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
338 KB
Volume
45
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES

Radii of Convexity and Strong Starlikene
Radii of Convexity and Strong Starlikeness for Some Classes of Analytic Functions
โœ A. Gangadharan; V. Ravichandran; T.N. Shanmugam ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 191 KB

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

Classes of Uniformly Convex and Uniforml
Classes of Uniformly Convex and Uniformly Starlike Functions as Dual Sets
โœ I.R. Nezhmetdinov ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 170 KB

In this paper the classes of uniformly convex and uniformly starlike functions are ลฝ presented as dual sets for certain function families in the sense of convolution . theory . The results are used to find some sharp sufficient conditions for functions, regular in the unit disk, to belong to the abo

Partial Sums of Starlike and Convex Func
Partial Sums of Starlike and Convex Functions
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