{
  "abstract": "This work introduces two novel classes of bi-univalent functions, denoted by ℬΣ(μ, γ, λ; r) and ΡΣ(μ, γ, λ; r), linked to Lucas-Balancing polynomials within the open unit disk. For functions pertaining to these newly defined classes, we establish estimates for the early Taylor–Maclaurin coefficients |a2| and |a3|. Furthermore, the Fekete–Szegö functional inequalities are evaluated for these families. Subsequently, relevant particular cases and corollaries stemming from our primary findings are emphasized through parameter specialization.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics, Faculty of Computer Science and Math, University of Kufa, Najaf 31221, Iraq",
    "Department of Mathematics, College of Education for Women, University of Al-Qadisiyah, Al Diwaniyah 58001, Iraq",
    "Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Shaymaa Y. Alkufi"
    },
    {
      "affs": [
        1
      ],
      "name": "Abbas Kareem Wanas",
      "orcid": "0000-0001-5838-7365"
    },
    {
      "affs": [
        2
      ],
      "name": "Alina Alb Lupas",
      "orcid": "0000-0002-2855-7535"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/aftd1036qryxx.bib",
  "cited_by": 0,
  "doi": "10.3390/math14193564",
  "fulltext_url": null,
  "id": "aftd1036qryxx",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/19/3564",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2608|Analytic and geometric function theory"
    ]
  ],
  "openalex": "W7215049368",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/aftd1036qryxx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:29Z",
      "native_id": "10.3390/math14193564",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/19/3564"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Analytic and geometric function theory",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Upper Bounds and Fekete–Szegö Problem for Bi-Univalent Functions Involving Bazilevič and λ-Pseudo Functions Related to Lucas-Balancing Polynomials",
  "title_text": "Upper Bounds and Fekete–Szegö Problem for Bi-Univalent Functions Involving Bazilevič and λ-Pseudo Functions Related to Lucas-Balancing Polynomials",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:29Z",
  "url": "https://research.draconitic.com/paper/aftd1036qryxx",
  "venue": "Mathematics",
  "versions": []
}