Some Evaluations About Coefficients Boundaries for Specific Classes of Bi-Univalent Functions

Faculty Science Year: 2024
Type of Publication: ZU Hosted Pages:
Authors:
Alaa Hassan Attia Hassan
Journal: Axioms MDPI Volume:
Keywords : Some Evaluations About Coefficients Boundaries , Specific    
Abstract:
New subclasses of bi-univalent functions with bounded boundary rotation are presented in this study. We acquired estimates for the initial coefficients |𝑎2| , |𝑎3| and |𝑎4| . Furthermore, we have verified the specific situations satisfying the famous hypothesis of Brannan and Clunie. Additionally, we have obtained the well-known Fekete–Szegö inequality for the newly identified bi-univalent function subclasses. Our results not only improve, but also extend several existing results as particular cases.
    
     
 
       

Author Related Publications

  • Alaa Hassan Attia Hassan, "Bi-Univalent Function Classes Defined by Using a Second Einstein Function", Hindawi, 2022 More
  • Alaa Hassan Attia Hassan, "Hadamard Product Properties for Certain Subclasses of p-Valent Meromorphic Functions", MDPI, 2022 More
  • Alaa Hassan Attia Hassan, "Application of Einstein function on bi-univalent functions defined on the unit disc", MDPI, 2022 More
  • Alaa Hassan Attia Hassan, "On the Partial Sums of the q-Generalized Dini Function", Hindawi, 2022 More
  • Alaa Hassan Attia Hassan, "On subordination results for certain new classes of analytic functions defined by using Salagean operator", Universiteti i Prishtines, Prishtine, Kosove, 2012 More

Department Related Publications

  • Alaa Hassan Attia Hassan, "Multivalent Functions with Varying Arguments", International Center for Scientific Research and Studies, Irbid, Jordan, 2013 More
  • Alaa Hassan Attia Hassan, "Fekete-Szegö Problem for a New Class of Analytic Functions Defined by Using a Generalized Differential Operator", the Palacký University Olomouc, Czech Republic, 2013 More
  • Usama Abdelhamid Ibrahim, "I-Proximity Spaces", Jöklarannsóknafélag Íslands, 2013 More
  • Khaled Lotfy Mohamed Azab, "Effect of rotation for Two Temperature Generalized Thermoelasticity of Two-dimensional under thermal shock problem", Hindawi Publishing Corporation, 2013 More
  • Khaled Lotfy Mohamed Azab, "A Mode-I crack problem for two-dimensional problem of a fiber-reinforced thermoelastic with normal mode analysis", ISSN 1992-1950 © 2013 Academic Journals, 2013 More
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