Coefficient inequality for a novel bi-univalent function subclass associated with Krawtchouk polynomials

Orhan, Halit; Caglar, Murat; Arikan, Halit

doi:10.2298/fil2518215o

Coefficient inequality for a novel bi-univalent function subclass associated with Krawtchouk polynomials

Orhan H., Caglar M., Arikan H.

FILOMAT, cilt.39, sa.18, ss.6215-6228, 2025 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 39 Sayı: 18
Basım Tarihi: 2025
Doi Numarası: 10.2298/fil2518215o
Dergi Adı: FILOMAT
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
Sayfa Sayıları: ss.6215-6228
Atatürk Üniversitesi Adresli: Evet

Özet

In this research, we present and study a new subclass of bi-univalent functions related to the Krawtchouk polynomials that meet subordination requirements seen in the open unit disk, a symmetric domain. We derive estimates for the Fekete-Szegoinequality |a(3)-gamma a(2)(2)| and the Taylor-Maclaurin coeffcients |a(2)| , |a(3)| for this new subclass.