Certain integrals for classes of p-valent meromorphic functions
نویسندگان
چکیده
منابع مشابه
CERTAIN SUBCLASSES OF p−VALENT MEROMORPHIC FUNCTIONS INVOLVING CERTAIN OPERATOR
In this paper, a new subclass ∑α p,β(η, δ, μ, λ) of p−valent meromorphic functions defined by certain integral operator is introduced. Some interesting properties of this class are obtained.
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and Applied Analysis 3 2. Some Properties of the Classes ∑∗ λ p, n, α and ∑λ c p, n, α Theorem 2.1. If f z ∈ ∑ p, n satisfies ∣ ∣ ∣ ∣ ( zf z )eiλ/ p−α cosλ { e zf ′ z f z α cosλ ip sinλ } ( p − α cosλ ∣ ∣ ∣ ∣ < n √ n2 1 ( p − α cosλ z ∈ U , 2.1 then f z ∈ ∑∗λ p, n, α . Proof. Let us set a function h z by h z 1 z ( zf z )eiλ/ p−α cosλ 1 z ean ( p − α cosλ n · · · 2.2 for f z ∈ ∑ p, n . Then clea...
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In this paper we establish some results concerning the partial sums of meromorphic p-valent starlike functions and meromorphic p-valent convex functions.
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1982
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700005062