Results 1 to 10 of about 430 (156)

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
doaj   +6 more sources

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, V. Ravichandran, Rosihan M. Ali   +2 more
doaj   +6 more sources

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, Muhammad Zaini Ahmad, Hiba F Al-Janaby   +2 more
exaly   +3 more sources

Properties of Differential Subordination and Superordination for Multivalent Functions Associated with the Convolution Operators

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, Abdul Rahman S Juma   +1 more
exaly   +4 more sources

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 A Attiya, Mohamed K Aouf, Ekram E Ali   +2 more
exaly   +4 more sources

Differential subordination and superordination results for Cho–Kwon–Srivastava operator

Computers and Mathematics With Applications, 2012
Making use of the concepts of differential subordination and superordination, many subordination and superordination results are obtained for analytic functions in the open unit disk using the Cho–Kwon–Srivastava operator by investigating appropriate ...
S Sivasubramanian
exaly   +4 more sources

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, Pranay Goswami, H. Silverman   +2 more
doaj   +4 more sources

Strong differential subordination and superordination of analytic functions

Journal of Mathematical Analysis and Applications, 2012
Strong differential subordination and superordination results are obtained for analytic functions in the open unit disk by investigating appropriate classes of admissible functions.
T K Suresh
exaly   +3 more sources

Some subordination and superordination results with an integral operator

Le Matematiche, 2015
In this article, we obtain some subordination and superordination preserving properties of meromorphic univalent functions in the punctured open unit disk associated with an integral operator. Some Sandwich-type results are also presented.
H. E. Darwish, A. Y. Lashin, S. M. Soileh   +2 more
doaj   +4 more sources

Subordination and superordination of a certain integral operator on meromorphic functions

Computers and Mathematics With Applications, 2010
Using the methods of differential subordination and superordination, sufficient conditions on the integral operator of meromorphic functions in the punctured unit disk for obtaining, respectively, the best dominant and the best subordinant are determined.
Seoudy, T.M., Aouf, M.K.
exaly   +3 more sources