The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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ON A CLASS OF MEROMORPHICALLY P-VALENT STARLIKE FUNCTIONS

  • Xu NENG (DEPARTMENT OF MATHEMATICS, CHANGSHU COLLEGE) ;
  • YANG DINGGONG (DEPARTMENT OF MATHEMATICS, SUZHOU UNIVERSITY)
  • Published : 2005.02.01
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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).

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