A differential inequality involving Ruscheweyh operator and univalent functions
نویسندگان
چکیده
منابع مشابه
Univalent Functions Defined by Ruscheweyh Derivatives
We study some radii problems concerning the integral operator z F(z)y+l uY-I f(u) du zy o for certain classes, namely K and M (a), of univalent functions defined by Ruscheweyh n n derivatives. Infact, we obtain the converse of Ruscheweyh’s result and improve a result of Goel and Sohi for complex by a different technique. The results are sharp.
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In this paper we have introduced and studied the subclass RI(d, α, β) of univalent functions defined by the linear operator RI n,λ,lf(z) defined by using the Ruscheweyh derivative Rf(z) and multiplier transformation I (n, λ, l) f(z), as RI n,λ,l : A → A, RI γ n,λ,lf(z) = (1 − γ)R f(z) + γI (n, λ, l) f(z), z ∈ U, where An = {f ∈ H(U) : f(z) = z+ an+1z + . . . , z ∈ U} is the class of normalized ...
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ژورنال
عنوان ژورنال: General Mathematics
سال: 2020
ISSN: 1584-3289
DOI: 10.2478/gm-2020-0009