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

Author

Listed:
  • Mohammad El-Ityan

    (Department of Mathematics, Faculty of Science, Al-Balqa Applied University, As-Salt 19117, Jordan)

  • Adel Salim Tayyah

    (College of Computer Science and Information Technology, University of Al-Qadisiyah, Al-Diwaniyah 58002, Iraq)

  • Mohammed Hamzah Alsalihi

    (College of Computer Science and Information Technology, University of Al-Qadisiyah, Al-Diwaniyah 58002, Iraq
    Department of Telecommunications and Artificial Intelligence, Faculty of Electrical Engineering and Informatics, Budapest University of Technology and Economics, Magyar Tudósok Körútja 2, 1111 Budapest, Hungary
    Faculty of Media, Science & Technology, School of Computing and Engineering, Bournemouth University, Bournemouth BH3 7JH, UK)

  • Basem Aref Frasin

    (Department of Mathematics, Faculty of Science, Al Al-Bayt University, Mafraq 25113, Jordan)

  • Alina Alb Lupaş

    (Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania)

Abstract

This article proposes a new type of analytic function called M tan 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.

Suggested Citation

  • Mohammad El-Ityan & Adel Salim Tayyah & Mohammed Hamzah Alsalihi & Basem Aref Frasin & Alina Alb Lupaş, 2026. "Sharp Coefficient Estimates for Analytic Functions Subordinate to the Cusp Domain: Theory and Image Processing Applications," Mathematics, MDPI, vol. 14(6), pages 1-22, March.
    • Handle: RePEc:gam:jmathe:v:14:y:2026:i:6:p:1075-:d:1900870
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