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Convolution and differential subordination [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1989
Let A denote the class of all functions f analytic in the open unit disc U with f(0) 0 f'(0)-1. Let h be any convex univalent analytic function on U with h(0) and Re h(z) > 0 in U. Let g A be fixed.
T. N. Shanmugam
doaj   +2 more sources

An Application of Differential Subordination [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
We apply the general theory of differential subordination to obtain certian interesting criteria for 𝑝-valent starlikeness and strong starlikeness. Some applications of these results are also discussed.
T. N. Shanmugam, M. P. Jeyaraman
doaj   +3 more sources

On fuzzy differential subordination [PDF]

open access: yesMathematica Moravica, 2015
The theory of differential subordination was introduced by S.S. Miller and P.T. Mocanu in [2], then developed in many papers. In [1] the authors investigate various subordination results for some subclasses of analytic functions in the unit disc.
Haydar Eṣ A.
doaj   +3 more sources

Application of Differential Subordinations to the Arithmetic–Geometric Means by Using an Operator [PDF]

open access: goldJournal of Mathematics
This study investigates differential subordination involving arithmetic and geometric mean approaches associated with a previously introduced operator. While earlier studies considered cases where the dominant function was convex or linear, the present ...
Santosh Mandal   +4 more
doaj   +2 more sources

Fuzzy Differential Subordination for Meromorphic Function Associated with the Hadamard Product [PDF]

open access: goldAxioms, 2023
This paper is related to fuzzy differential subordinations for meromorphic functions. Fuzzy differential subordination results are obtained using a new operator which is the combination Hadamard product and integral operator for meromorphic function.
Sheza M. El-Deeb, Alina Alb Lupaş
doaj   +2 more sources

Fuzzy Differential Subordination for Meromorphic Function [PDF]

open access: goldAxioms, 2022
This paper is related to notions adapted from fuzzy set theory to the field of complex analysis, namely fuzzy differential subordinations. This work aims to present new fuzzy differential subordinations for which the fuzzy best dominant and fuzzy best ...
Sheza El-Deeb   +3 more
doaj   +2 more sources

Some Results on Third-Order Differential Subordination and Differential Superordination for Analytic Functions Using a Fractional Differential Operator [PDF]

open access: goldMathematics, 2023
In this study, we explore the implications of a third-order differential subordination in the context of analytic functions associated with fractional differential operators.
Faten Fakher Abdulnabi   +3 more
doaj   +2 more sources

Some Subordination Results on q-Analogue of Ruscheweyh Differential Operator [PDF]

open access: goldAbstract and Applied Analysis, 2014
We derive the q-analogue of the well-known Ruscheweyh differential operator using the concept of q-derivative. Here, we investigate several interesting properties of this q-operator by making use of the method of differential subordination.
Huda Aldweby, Maslina Darus
doaj   +2 more sources

Application of Pythagorean means and Differential Subordination [PDF]

open access: greenBulletin of the Belgian Mathematical Society - Simon Stevin, 2022
For $0\leq \leq 1,$ let $H_ (x,y)$ be the convex weighted harmonic mean of $x$ and $y.$ We establish differential subordination implications of the form \begin{equation*} H_ (p(z),p(z) (z)+zp'(z) (z))\prec h(z)\Rightarrow p(z)\prec h(z), \end{equation*} where $ ,\; $ are analytic functions and $h$ is a univalent function satisfying some special ...
S. Sivaprasad Kumar, Priyanka Goel
openalex   +3 more sources

Strong differential subordination

open access: bronzeTurkish Journal of Mathematics, 2009
Georgia Irina Oros, Gheorghe Oros
openalex   +3 more sources

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