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We introduce two new subclasses Hp,k(?,A,B) and Qp,k(?,A,B) of meromorphically multivalent functions associated with the Dziok-Srivastava operator which is a special case of the Srivastava-Wright operator. Distortion inequalities, partial sums and convolutional theorems for Hp,k(?,A,B) and Qp,k(?,A,B) are obtained.
Cang, Yi-Ling, Liu, Jin-Lin
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New conditions for Pascal distribution series to be in a certain class of analytic functions. [PDF]
Frasin BA, Cotîrlă LI.
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Certain properties of the Dziok–Srivastava operator [PDF]
Making use of Hadamard product (or convolution), a certain linear operator \(H_{p,q,s}(\alpha _1)\) was recently introduced and studied in a series of papers by Dziok and Srivastava. In this paper, some other properties of the operator \(H_{p,q,s}(\alpha _1)\) are derived with the help of differential subordination.
Jin-Lin Liu
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Subordinations for analytic functions defined by the Dziok–Srivastava linear operator
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V Ravichandran +2 more
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On the convex combination of the Dziok–Srivastava operator
Applied Mathematics and Computation, 2007In 1999 Dziok and Srivastava have introduced the following operator \[ H_p(\alpha_1,\dots,\alpha_q; \beta_1,\dots,\beta_s): f(z) \mapsto h_p(\alpha_1,\dots,\alpha_q; \beta_1,\dots,\beta_s; z)\ast f(z) \] with \(h_p(\alpha_1,\dots,\alpha_q; \beta_1,\dots,\beta_s; z) = z^p\cdot _{q}F_{s}(\alpha_1,\ldots,\alpha_q; \beta_1,\dots,\beta_s; z)\) and \(_{q}F_ ...
J Dziok
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Some applications of differential subordination and the Dziok–Srivastava convolution operator
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qing-Hua Xu +2 more
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By making use of the method of differential subordination, we investigate some interesting properties of certain analytic functions associated with the Dziok-Srivastava linear operator.
Jin-Lin Liu
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Arabian Journal for Science and Engineering, 2011
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Maslina Darus +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maslina Darus +2 more
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Starlike and convex functions of complex order involving the Dziok-Srivastava operator
Integral Transforms and Special Functions, 2007Making use of Dziok-Srivastava operator we investigate starlike and convex functions of complex order defined by means of Hadamard product.
G Murugusundaramoorthy, N Magesh
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Subordinations for multivalent analytic functions associated with the Dziok–Srivastava operator
Integral Transforms and Special Functions, 2009Let 𝒜 p (p∈ℕ:={1, 2, 3, …}) be the class of functions f given by which are analytic in the open unit disk 𝕌. Making use of the method of differential subordinations, we obtain some sufficient conditions for f(z)∈𝒜 p involving the Dziok–Srivastava operator to satisfy certain subordination properties.
H. M. Srivastava +2 more
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