A certain subclass of bi-univalent analytic functions introduced by means of the q-analogue of Noor integral operator and Horadam polynomials

Akgül, ARZU; Sakar, F.

doi:10.3906/mat-1905-17

A certain subclass of bi-univalent analytic functions introduced by means of the q-analogue of Noor integral operator and Horadam polynomials

Akgül A., Sakar F. M.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, sa.5, ss.2275-2286, 2019 (SCI-Expanded, Scopus, TRDizin)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 43 Sayı: 5
Basım Tarihi: 2019
Doi Numarası: 10.3906/mat-1905-17
Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.2275-2286
Anahtar Kelimeler: q- analogue of Noor integral operator, Horadam polynomials, bi-univalent functions
Kocaeli Üniversitesi Adresli: Evet

Özet

In the present study, by using the Horadam Polnomials and q- analogue of Noor integral oprerator, we target to construct an interesting connection between the geometric function theory and that of special functions. Also, by defining a new class of bi-univalent analytic functions, we investigate coefficient estimates and famous Fekete-Szego inequality for functions belonging to this interesting class.