๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Some convexity and convolution theorems for analytic functions

โœ Scribed by Stephan Ruscheweyh

Publisher
Springer
Year
1978
Tongue
English
Weight
495 KB
Volume
238
Category
Article
ISSN
0025-5831

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Some convolution conditions for starlike
Some convolution conditions for starlikeness and convexity of meromorphically multivalent functions
โœ Jin-Lin Liu; H.M. Srivastava ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 188 KB

By making use of the Hadamard product (or convolution), the authors derive necessary and sufficient conditions for a suitably normalized meromorphically p-valent function to be in the familiar classes of meromorphic p-valently starlike and meromorphic p-valently convex functions in the punctured uni

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

Close-to-convexity, starlikeness, and co
Close-to-convexity, starlikeness, and convexity of certain analytic functions
โœ S. Owa; M. Nunokawa; H. Saitoh; H.M. Srivastava ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 339 KB

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.