Some Geometric Properties of Subclasses of p -valent Functions with negative coefficients defined by Opoola Differential Operator

Key Points

• The research aims to study the geometric properties of subclasses of p-valent functions using the Opoola differential operator.
• Characterization of properties for functions in the subclass A m g (p, t, b, α)
• Coefficient bounds established for the same subclass
• Distortion and growth properties analyzed for functions in M m g (p, t, b, α; Λ)
• Inclusion relations determined for the two subclasses
• Characterization properties for functions in A m g (p, t, b, α) were successfully defined.
• Important coefficient bounds for A m g (p, t, b, α) were established.
• Distortion and growth properties for functions in M m g (p, t, b, α; Λ) were outlined.
• Inclusion relations for both subclasses were defined, indicating their mathematical connectivity.