Initial Coefficient Bounds Analysis for Novel Subclasses of Bi-Univalent Functions Linked with Lucas-Balancing Polynomials-Reference-Cited by-同舟云学术

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

Published:2024-04-26 Issue:9 Volume:12 Page:1325
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Swamy Sondekola Rudra¹^ORCID,Breaz Daniel²,Venugopal Kala¹,Kempegowda Mamatha Paduvalapattana³^ORCID,Cotîrlă Luminita-Ioana⁴^ORCID,Rapeanu Eleonora⁵^ORCID

Affiliation:

1. Department of Information Science and Engineering, Acharya Institute of Technology, Bengaluru 560 107, Karnataka, India

2. Department of Mathematics, University of Alba Iulia, 510009 Alba-Iulia, Romania

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

4. Department of Mathematics, Tehnical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

5. 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.

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/9/1325/pdf

Reference35 articles.

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