Coefficient Estimates for Certain New Classes of Bi-Univalent Functions in Hilbert Space Framework
DOI:
https://doi.org/10.29304/jqcsm.2026.18.32992Keywords:
Bi-univalent functions, coefficient bounds, Hilbert Space FrameworkAbstract
This paper introduces two new subclasses of the bi-univalent function class $\Sigma$ in the open unit disk , along with estimates for the coefficients and for functions in these subclasses. Moreover, the study is framed within the Hilbert space setting, particularly the Hardy space , providing an operator-theoretic approach for analyzing coefficient bounds.
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Gao, C.-Y. and S.-Q. Zhou, Certain subclass of starlike functions. Applied mathematics and computation, 2007. 187(1): p. 176-182.
Yang, D.-G. and J.-L. Liu. A class of analytic functions with missing coefficients. in Abstract and Applied Analysis. 2011. Wiley Online Library.
Ezrohi, T., Certain estimates in special classes of univalent functions regular in the circle| z|< 1. Dopovidi Akademiji Nauk Ukrajins Koji RSR, 1965: p. 984-988.
Deniz, E., M. Çağlar, and H. Orhan, Second Hankel determinant for bi-starlike and bi-convex functions of order β. Applied Mathematics and Computation, 2015. 271: p. 301-307.
Brannan, D.A. and T. Taha, On some classes of bi-univalent functions, in Mathematical Analysis and Its Applications. 1988, Elsevier. p. 53-60.
Taha, T., Topics in Univalent Function Theory, University of London. 1981, Phd thesis.
Netanyahu, E., The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in¦ z¦< 1. Archive for rational mechanics and analysis, 1969. 32(2): p. 100-112.
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Copyright (c) 2026 Salah Mahdi Ali, Sanaa Noor Al-Sharifi, Rafid Habib Buti
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
