New Applications of Fuzzy Set Concept in the Geometric Theory of Analytic Functions
Axioms, 2023 Zadeh’s fuzzy set theory offers a logical, adaptable solution to the challenge of defining, assessing and contrasting various sustainability scenarios.
Alina Alb Lupaş
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A Class of Symmetric Fractional Differential Operator Formed by Special Functions
Journal of Mathematics, 2022 In light of a certain sort of fractional calculus, a generalized symmetric fractional differential operator based on Raina’s function is built. The generalized operator is then used to create a formula for analytic functions of type normalized.
Ibtisam Aldawish +2 more
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Applications of Fractional Derivative on a Differential Subordinations and Superordinators for Analytic Functions Associated with Differential Operator [PDF]
Kragujevac Journal of Mathematics, 2021 The purpose of this paper is to derive subordination and superordination results involving fractional derivative of differential operator for analytic functions in the open unit disk. These results are applied to obtain sandwich results. Our results extend corresponding previously known results.
Wanas, Abbas Kareem, Darus, Maslina
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Third Order Differential Subordination for Analytic Functions Involving Convolution Operator
مجلة بغداد للعلوم, 2022 In the present paper, by making use of the new generalized operator, some results of third order differential subordination and differential superordination consequence for analytic functions are obtained.
Nihad Hameed Shehab +1 more
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Differential Subordination and Superordination for a Generalized Differential Operator Involving Mittag-Leffler Function [PDF]
Kragujevac Journal of Mathematics, 2021 Abstract. Owning to the importance and great interest of linear operators, a generalisation of linear derivative operator He m δ,p(α, β, a1, b1)f(z) is newly introduced in this study. The main objective of this paper is to investigate various subordination and superordination related to the aforementioned generalised linear derivative operator ...
SUHILA ELHADDAD, MASLINA DARUS
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On applications of differential subordination and superordination
Tamkang Journal of Mathematics, 2008 In the present investigation we obtain the sufficient conditions for normalized analytic functions $f$ to satisfy$$ q_1 \prec \frac{f^2}{z^2f'} \prec q_2, $$where $ q_1 $ and $ q_2 $ are univalent functions with $ q_1(0)= q_2(0)=1 $. Also we obtain the sandwich results involving Carlson-Shaffer linear operator, $ S\u{a}l\u{a} $gean derivative and ...
N. Marikkannan, C. Ganesamoorthy
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Differential superordination for harmonic complex-valued functions [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2019 In a previously published paper,in 2015, S. Kanas introduced the differential subordination for harmonic complex-valued functions. In this article,we introduce the dual notion of differential superordination for harmonic complex-valued functions.
Georgia Irina Oros, Gheorghe Oros
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Sandwich-type results regarding Riemann-Liouville fractional integral of q-hypergeometric function
Demonstratio Mathematica, 2023 The study presented in this article involves q-calculus connected to fractional calculus applied in the univalent functions theory. Riemann-Liouville fractional integral of q-hypergeometric function is defined here, and investigations are conducted using
Alb Lupaş Alina, Oros Georgia Irina
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DIFFERENTIAL SUBORDINATIONS AND SUPERORDINATIONS FOR GENERALIZED BESSEL FUNCTIONS
Bulletin of the Korean Mathematical Society, 2016 8 ...
Al-Kharsani, Huda A. +2 more
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Differential subordination, superordination results associated with Pascal distribution
AIMS Mathematics, 2023 <abstract><p>This paper aims to study differential subordination and superordination preserving properties for certain analytic univalent functions with in the open unit disk. In the present investigation, we obtain some subordination and superordination results involving Pascal distribution series for certain normalized analytic functions ...
K. Saritha, K. Thilagavathi
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