On a Class of Meromorphically p-Valent Starlike Functions
Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2005, v.12 no.1, pp.57-63
Xu NENG
YANG DINGGONG
Xu,
N.
, &
YANG,
D.
(2005). On a Class of Meromorphically p-Valent Starlike Functions. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 12(1), 57-63.
Abstract
Let ∑(p)(p ∈ N) be the class of functions f(z) = z/sup -p/ + α/sub 1-p/ z/sup 1-p/ + α/sub 2-p/z/sup 2-p/ + ... analytic in 0 < |z| < 1 and let M(p, λ, μ)(0 < λ≤ 2 and 2λ(λ - 1) ≤ μ ≤ λ²) denote the class of functions f(z) ∈ ∑(p) which satisfy (equation omitted). The object of the present paper is to derive some properties of functions in the class M(p, λ, μ).
- keywords
-
meromorphic,
p-valent starlike,
subordination