The generalized hypergeometric function and associated families of meromorphically multivalent functions
نویسندگان
چکیده
منابع مشابه
The Generalized Hypergeometric Function and Associated Families of Meromorphically Multivalent Functions
Making use a linear operator, which is defined here by means of the Hadamard product (or convolution) involving the generalized hypergeometric function, we introduce two novel subclasses Qp,q,s(α1;A,B,λ) and Qp,q,s(α1;A,B,λ) of meromorphically multivalent functions of order λ (0 λ < p) in the punctured disc U∗ . In this paper we investigate the various important properties and characteristics o...
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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.
متن کاملSome subclasses of meromorphically multivalent functions associated with the generalized hypergeometric function
Keywords: Meromorphic functions Multivalent functions Dziok–Srivastava linear operator Hadamard product (or convolution) Subordination between analytic functions Generalized hypergeometric function Symmetric points Conjugate points Symmetric conjugate points a b s t r a c t In the present paper, we introduce and investigate each of the following new subclasses: of meromorphically p-valent funct...
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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...
متن کاملSome Applications of Differential Subordination of Multivalent Functions Associated with the Wright Generalized Hypergeometric Function
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2009
ISSN: 1846-579X
DOI: 10.7153/jmi-03-05