𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Starlike and Convexity Properties for Hypergeometric Functions

✍ Scribed by H. Silverman


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
195 KB
Volume
172
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Partial Sums of Starlike and Convex Func
✍ H Silverman πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 135 KB

Let f z szqÝ a z be the sequence of partial sums of a function a z that is analytic in z -1 and either starlike of order ␣ or ks 2 k Γ„ 4 convex of order ␣, 0 F ␣ -1. When the coefficients a are ''small,'' we deterk Γ„ Ε½ . Ε½ 4 Γ„ Ε½ . Ε½ .4 Γ„ Ε½ . X Ε½ .4 mine lower bounds on Re f z rf z , Re f z rf z , R

On p-Valently Close-To-Convex and Starli
✍ Shigeyoshi Owa πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 254 KB

## Abstract The object of the present paper is to prove some interesting sufficient conditions for __p__‐valently close‐to‐convex and starlike functions in the unit disk.

Radii of Convexity and Strong Starlikene
✍ A. Gangadharan; V. Ravichandran; T.N. Shanmugam πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 191 KB

Let z be an analytic function with positive real part on ⌬ s z; z -1 with Ž . Ž . 0 s 1, Ј 0 ) 0 which maps the unit disk ⌬ onto a region starlike with respect Ž . to 1 and symmetric with respect to the real axis. Let ST denote the class of Ž . Ž . Ž . Ž . Ž . Ž . analytic functions f z with f 0 s

Classes of Uniformly Convex and Uniforml
✍ I.R. Nezhmetdinov πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 170 KB

In this paper the classes of uniformly convex and uniformly starlike functions are Ε½ 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