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Initial Coefficient Bounds Analysis for Novel Subclasses of Bi-Univalent Functions Linked with Lucas-Balancing Polynomials

Author

Listed:
  • Sondekola Rudra Swamy

    (Department of Information Science and Engineering, Acharya Institute of Technology, Bengaluru 560 107, Karnataka, India)

  • Daniel Breaz

    (Department of Mathematics, University of Alba Iulia, 510009 Alba-Iulia, Romania)

  • Kala Venugopal

    (Department of Information Science and Engineering, Acharya Institute of Technology, Bengaluru 560 107, Karnataka, India)

  • Mamatha Paduvalapattana Kempegowda

    (School of Mathematics, Alliance University, Central Campus, Chikkahadage Cross, Chandapura-Anekal Main Road, Bengaluru 562 106, India)

  • Luminita-Ioana Cotîrlă

    (Department of Mathematics, Tehnical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania)

  • Eleonora Rapeanu

    (Department of Mathematics, “Mircea cel Batran”, Naval Academy, 900218 Constanta, Romania)

Abstract

We investigate some subclasses of regular and bi-univalent functions in the open unit disk that are associated with Lucas-Balancing polynomials in this work. For functions that belong to these subclasses, we obtain upper bounds on their initial coefficients. The Fekete–Szegö problem is also discussed. Along with presenting some new results, we also explore pertinent connections to earlier findings.

Suggested Citation

  • Sondekola Rudra Swamy & Daniel Breaz & Kala Venugopal & Mamatha Paduvalapattana Kempegowda & Luminita-Ioana Cotîrlă & Eleonora Rapeanu, 2024. "Initial Coefficient Bounds Analysis for Novel Subclasses of Bi-Univalent Functions Linked with Lucas-Balancing Polynomials," Mathematics, MDPI, vol. 12(9), pages 1-15, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1325-:d:1383858
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