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

Sondekola Rudra Swamy, Daniel Breaz, Kala Venugopal, Mamatha Paduvalapattana Kempegowda, Luminita-Ioana Cotîrlă () and Eleonora Rapeanu
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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

Mathematics, 2024, vol. 12, issue 9, 1-15

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.

Keywords: bi-univalent functions; regular functions; subordination; Lucas-balancing polynomials (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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