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A certain connection between starlike and convex functions

✍ Scribed by N Takahashi; M Nunokawa

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
190 KB
Volume
16
Category
Article
ISSN
0893-9659

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✦ Synopsis

define two certain classes of functions S*(a, p) and C(a, p) and obtain a certain connection between these classes.

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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

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