Work

Sharp Coefficient Estimates for Analytic Functions Subordinate to the Cusp Domain: Theory and Image Processing Applications

Year: 2026

Type: article

Abstract: This article proposes a new type of analytic function called Mtan and introduces a new geometric structure that blends exponential and trigonometric properties. In addition, it obtains exact bounds for all second- and third-order Hankel determinants and establishes extremal results for the Fekete–Szegö and Zalcman functionals. Moreover, it discusses the validity of the Krushkal inequality. Furthermore, it applies the developed methodology to improve the contrast and quality of color images and demonstrates that the proposed enhancement filters yield notable improvements in contrast and quality compared to other filters, based on the PSNR, SSIM, MSE, RMSE, PCC, and MAE metrics. This article demonstrates its dual nature, namely advances in geometric function theory and practical advantages in digital image processing.

Source: Mathematics

DOI: 10.3390/math14061075

Authors: Mohammad El-Ityan, Adel Salim Tayyah, Mohammed Hamzah Alsalihi, Basem Aref Frasin, Alina Alb Lupaş

Institutions: Al-Balqa Applied University, University of Al-Qadisiyah, Budapest University of Technology and Economics, Bournemouth University, Al al-Bayt University, University of Oradea

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W7140077464

FWCI: 32.57

Cites:

Cited by: 3

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