What question did this study set out to answer?

This research aims to analyze the distribution of zeros for holomorphic functions constrained by subharmonic function differences.

Distribution of Zeros of Holomorphic Functions Bounded from Above by the Difference of Subharmonic Functions

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Research establishes bounds on zeros distribution of holomorphic functions, indicating broader inequalities.

This research aims to analyze the distribution of zeros for holomorphic functions constrained by subharmonic function differences.
Establish upper bounds for log of holomorphic functions on the unit disc and complex plane.
Utilize generalized convex functions for testing integral inequalities.
Develop results based on earlier findings regarding zeros of entire functions with subharmonic majorants.
Defines broad inequalities for zero distributions based on Riesz charge characteristics.
Demonstrates variations in distribution properties dependent on the nature of convex functions used.
Builds on previous results for better understanding of zeros with subharmonic constraints.

Khabibullin et al. (2026) studied this question.

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