(P, Q)-Lucas polynomial coefficient relations of bi-univalent functions defined by the combination of Opoola and Babalola differential operators

Orhan, Halit; Shaba, Timilehin; Caglar, Murat

doi:10.1007/s13370-021-00953-y

(P, Q)-Lucas polynomial coefficient relations of bi-univalent functions defined by the combination of Opoola and Babalola differential operators

Orhan H., Shaba T. G., Caglar M.

AFRIKA MATEMATIKA, cilt.33, sa.1, 2022 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 33 Sayı: 1
Basım Tarihi: 2022
Doi Numarası: 10.1007/s13370-021-00953-y
Dergi Adı: AFRIKA MATEMATIKA
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
Anahtar Kelimeler: Babalola convolution operator, Opoola differential operator, (P, Q)-Lucas polynomial, Bi-univalent function, Subordination
Atatürk Üniversitesi Adresli: Evet

Özet

In the discipline of geometric function theory, Lucas polynomials and other special polynomials have recently acquired traction. We establish a new class of bi-univalent functions and get coefficient estimates and Fekete-Szego inequalities for this new class in this paper by connecting these polynomials, subordination and combination of Babalola and Opoola operator.