A Class of Integral Operators Preserving Subordination and Superordination
Journal of Inequalities and Applications, 2008 We give some subordination- and superordination-preserving properties of certain nonlinear integral operators defined on the space of normalized analytic functions in the open unit disk.
Cho NakEun, Kim InHwa
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Subordination and Superordination on Schwarzian Derivatives [PDF]
Journal of Inequalities and Applications, 2009 Let the functions q1 be analytic and let q2 be analytic univalent in the unit disk. Using the methods of differential subordination and superordination, sufficient conditions involving the Schwarzian derivative of a normalized analytic function f are ...
N. Seenivasagan +2 more
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Axioms, 2023 Using convolution (or Hadamard product), we define the El-Ashwah and Drbuk linear operator, which is a multivalent function in the unit disk U=w ...
Cotirla Luminiţa-Ioana +1 more
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Differential Subordination and Superordination Results Associated with Mittag–Leffler Function
Mathematics, 2021 In this paper, we derive a number of interesting results concerning subordination and superordination relations for certain analytic functions associated with an extension of the Mittag–Leffler function.
Adel Attiya +2 more
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Third-order differential subordination and superordination involving a fractional operator
Open Mathematics, 2015 The third-order differential subordination and the corresponding differential superordination problems for a new linear operator convoluted the fractional integral operator with the Carlson-Shaffer operator, are investigated in this study.
Rabha W Ibrahim +2 more
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Subordination and Superordination Results for a Class of Analytic Multivalent Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 We derive subordination and superordination results for a family of normalized analytic functions in the open unit disk defined by integral operators. We apply this to obtain sandwich results and generalizations of some known results.
S. P. Goyal +2 more
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Differential Subordination and Superordination for Srivastava-Attiya Operator [PDF]
International Journal of Differential Equations, 2011 Due to the well-known Srivastava-Attiya operator, we investigate here some results relating the p-valent of the operator with differential subordination and subordination. Further, we obtain some interesting results on sandwich-type theorem for the same.
Maisarah Haji Mohd, Maslina Darus
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Differential subordination and superordination results for Cho–Kwon–Srivastava operator
Computers and Mathematics With Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S Sivasubramanian
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Subordination and superordination of a certain integral operator on meromorphic functions
Computers and Mathematics With Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M K Aouf
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Strong differential subordination and superordination of analytic functions
Journal of Mathematical Analysis and Applications, 2012 Let \(A\) be the class of functions analytic in the unit disc \(\mathbb{U}= \{z\in\mathbb{C}:|z|< 1\}\). We say that a function \(f\in A\) is subordinate to \(g\in A\) if there exists a function \(w\in A\) such that \(|w(z)|< 1\) and \(f(z)= g(w(z))\) for \(z\in \mathbb{U}\). In this case we write \(f\prec g\) or \(f(z)\prec g(z)\).
Jeyaraman, M.P., Suresh, T.K.
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