On certain classes of meromorphically multivalent functions associated with the generalized hypergeometric function
نویسندگان
چکیده
منابع مشابه
On certain classes of meromorphically multivalent functions associated with the generalized hypergeometric function
In the present paper, we investigate several inclusion relationships and other interesting properties of certain subclasses of meromorphically multivalent functions which are defined here by means of a linear operator involving the generalized hypergeometric function. Some interesting applications on Hadamard product concerning this and other classes of integral operators are also considered.
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0 ∣∣∣∣Reh(z)− ρ 1− ρ ∣∣∣∣ dθ ≤ kπ, z = re, where k > 2 and 0 ≤ ρ < 1. This class was introduced by Padmanabhan et al. in [9]. We note that Pk(0) = Pk, see Pinchuk [11], P2(ρ) = P (ρ), the class of analytic functions with positive real part greater than ρ and P2(0) = P, the class of functions with positive real part. From (1.2) we can easily deduce that h(z) ∈ Pk(ρ) if, and only if, there exists...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2009
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.04.013