HORADAM POLYNOMIALS FOR A NEW SUBCLASS OF SAKAGUCHI-TYPE BI-UNIVALENT FUNCTIONS DEFINED BY (p, q)-DERIVATIVE OPERATOR

Balasubramaniam, Vanithakumari; Saravanan, Gunasekar; Sudharsanan, Baskaran; Yalçın Tokgöz, SİBEL

doi:10.4134/ckms.c230285

HORADAM POLYNOMIALS FOR A NEW SUBCLASS OF SAKAGUCHI-TYPE BI-UNIVALENT FUNCTIONS DEFINED BY (p, q)-DERIVATIVE OPERATOR

Balasubramaniam V., Saravanan G., Sudharsanan B., Yalçın Tokgöz S.

Communications of the Korean Mathematical Society, cilt.39, sa.2, ss.461-470, 2024 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 39 Sayı: 2
Basım Tarihi: 2024
Doi Numarası: 10.4134/ckms.c230285
Dergi Adı: Communications of the Korean Mathematical Society
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
Sayfa Sayıları: ss.461-470
Anahtar Kelimeler: (p,q)-derivative operator, Analytic functions, bi-univalent functions, Fekete-Szegö problem, Horadam polynomials, Sakaguchi-type functions, univalent functions
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, a new subclass, SCµ, p, q σ (r, s; x), of Sakaguchi-type analytic bi-univalent functions defined by (p, q)-derivative operator using Horadam polynomials is constructed and investigated. The initial coefficient bounds for |a2| and |a3| are obtained. Fekete-Szegö inequalities for the class are found. Finally, we give some corollaries.