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Images of disks under convex and starlike functions

โœ Scribed by Johnny E. Brown

Publisher
Springer-Verlag
Year
1989
Tongue
French
Weight
204 KB
Volume
202
Category
Article
ISSN
0025-5874

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๐Ÿ“œ SIMILAR VOLUMES

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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

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main object of the present paper is to derive several sufficient conditions for close-to-convexity, starlikeness, and convexity of certain (normalized) analytic functions. Relevant connections of some of the results obtained in this paper with those in earlier works are also provided.

Hadamard product of certain meromorphic
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โœ R.M. El-Ashwah; M.K. Aouf ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 336 KB

In this paper, the authors establish certain results concerning the Hadamard product for two classes related to starlike and convex univalent meromorphic functions of order ฮฑ and type ฮฒ with positive coefficients.