Title of article :
GENERALIZED HANKEL DETERMINANT FOR A GENERAL SUBCLASS OF UNIVALENT FUNCTIONS
Author/Authors :
YALCIN, S Department of Mathematics - Faculty of Arts and Science - Uludag University - Bursa, Turkey , ALTINKAYA, S Department of Mathematics - Faculty of Arts and Science - Uludag University - Bursa, Turkey , OWA, S Department of Mathematics - Faculty of Education - Yamato University - Katayama - Suita-Osaka, Japan
Abstract :
Making use of the generalized Hankel determinant, in this work, we consider
a general subclass of univalent functions. Moreover, upper bounds are obtained for
a3 − µa2
2
, where µ ∈ R.
Keywords :
Analytic and univalent functions , Fekete-Szeg¨o inequality , Hankel determinant
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics