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This work defines a new class of analytic functions using a subordination condition to explore starlikeness and generalization of existing classes.

July 12, 2026Mathematics OpenOpen Access

Inequalities for the Classes of Analytic Functions Defined Using Subordination

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This work defines a new class of analytic functions using a subordination condition to explore starlikeness and generalization of existing classes.
Developed a new family of analytic functions associated with an exponential function.
Investigated closure properties and geometric characteristics through examples.
Analyzed initial coefficients and applied the Fekete-Szego inequality to this function class.
Showed that the defined function class generalizes several important subclasses of univalent functions.
Illustrated geometric properties and closure relationships through various examples.
Established estimates for initial coefficients within the context of the defined class.

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Randomized trial demonstrates geometric properties of new analytic function class, indicating broader applications.

KARTHIKEYAN et al. (2026) studied this question.

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