ACTA UNIVERSITATIS APULENSIS No 20/2009 ON CERTAIN PROPERTIES OF THE CLASS OF GENERALIZED P -VALENT NON-BAZILEVIC FUNCTIONS
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چکیده
In this paper, we introduce a class Nk(p, λ, μ, ρ). We use a method of the mathematical induction and study some of the interesting properties of the operators I n (f(z)) = α+ 1 zα+1 z ∫ 0 t(I n−1(f(t))dt, where n ∈ N, α > −1, in the class Nk(p, λ, μ, ρ). 2000 Mathematics Subject Classification: 30C45, 30C50.
منابع مشابه
ACTA UNIVERSITATIS APULENSIS No 17/2009 SOME PROPERTIES OF THE SUBCLASS OF P -VALENT BAZILEVIC FUNCTIONS
In this paper, we define some new class, B k (a, b, c, p, n, α, ρ) by using the integral operators I p,n(a, b, c)f(z).We also derive some interesting properties of functions belonging to the class B k (a, b, c, p, n, α, ρ). Our results generalizing the works of Owa and Cho, see [2, 10]. 2000 Mathematics Subject Classification: 30C45, 30C50.
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تاریخ انتشار 2009