Convolution and differential subordination [PDF]
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
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An Application of Differential Subordination [PDF]
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
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On fuzzy differential subordination [PDF]
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.
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Application of Differential Subordinations to the Arithmetic–Geometric Means by Using an Operator [PDF]
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
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Fuzzy Differential Subordination for Meromorphic Function Associated with the Hadamard Product [PDF]
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
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Fuzzy Differential Subordination for Meromorphic Function [PDF]
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
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Some Results on Third-Order Differential Subordination and Differential Superordination for Analytic Functions Using a Fractional Differential Operator [PDF]
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
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Some Subordination Results on q-Analogue of Ruscheweyh Differential Operator [PDF]
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
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Application of Pythagorean means and Differential Subordination [PDF]
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
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Strong differential subordination
Georgia Irina Oros, Gheorghe Oros
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