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Third-Order Differential Subordination Features of Meromorphic Functions: Erdelyi–Kober Model Integral Operator Application
Faculty
Science
Year:
2024
Type of Publication:
ZU Hosted
Pages:
16
Authors:
Alaa Hassan Attia Hassan
Staff Zu Site
Abstract In Staff Site
Journal:
Axioms MDPI
Volume:
13
Keywords :
Third-Order Differential Subordination Features , Meromorphic Functions:
Abstract:
This study is concerned with the class of p-valent meromorphic functions, represented by the series 𝑓(𝜁)=𝜁−𝑝+∑∞𝑘=1−𝑝𝑑𝑘𝜁𝑘 , with the domain characterized by 0<|𝜁|<1 . We apply an Erdelyi–Kober-type integral operator to derive two recurrence relations. From this, we draw specific conclusions on differential subordination and differential superordination. By looking into suitable classes of permitted functions, we obtain various outcomes, including results analogous to sandwich-type theorems. The operator used can provide generalizations of previous operators through specific parameter choices, thus providing more corollaries.
Author Related Publications
Alaa Hassan Attia Hassan, "Bi-Univalent Function Classes Defined by Using a Second Einstein Function", Hindawi, 2022
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Alaa Hassan Attia Hassan, "Hadamard Product Properties for Certain Subclasses of p-Valent Meromorphic Functions", MDPI, 2022
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Alaa Hassan Attia Hassan, "Application of Einstein function on bi-univalent functions defined on the unit disc", MDPI, 2022
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Alaa Hassan Attia Hassan, "On the Partial Sums of the q-Generalized Dini Function", Hindawi, 2022
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Alaa Hassan Attia Hassan, "On subordination results for certain new classes of analytic functions defined by using Salagean operator", Universiteti i Prishtines, Prishtine, Kosove, 2012
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Department Related Publications
Alaa Hassan Attia Hassan, "Multivalent Functions with Varying Arguments", International Center for Scientific Research and Studies, Irbid, Jordan, 2013
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Alaa Hassan Attia Hassan, "Fekete-Szegö Problem for a New Class of Analytic Functions Defined by Using a Generalized Differential Operator", the Palacký University Olomouc, Czech Republic, 2013
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Usama Abdelhamid Ibrahim, "I-Proximity Spaces", Jöklarannsóknafélag Íslands, 2013
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Khaled Lotfy Mohamed Azab, "Effect of rotation for Two Temperature Generalized Thermoelasticity of Two-dimensional under thermal shock problem", Hindawi Publishing Corporation, 2013
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Khaled Lotfy Mohamed Azab, "A Mode-I crack problem for two-dimensional problem of a fiber-reinforced thermoelastic with normal mode analysis", ISSN 1992-1950 © 2013 Academic Journals, 2013
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