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-Szegö inequality for functions belonging to this interesting class.
$q-$analogue of Noor integral operator, Horadam polynomials, bi-univalent functions
AKGÜL, ARZU and SAKAR, FETHİYE MÜGE
"A certain subclass of bi-univalent analytic functions introduced bymeans of the $q$-analogue of Noor integral operator and Horadam polynomials,"
Turkish Journal of Mathematics: Vol. 43:
5, Article 16.
Available at: https://journals.tubitak.gov.tr/math/vol43/iss5/16