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:
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.
   
     
 
       

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