Title of article :
SECOND HANKEL DETERMINANT PROBLEM FOR SEVERAL CLASSES OF ANALYTIC FUNCTIONS RELATED TO SHELL-LIKE CURVES CONNECTED WITH FIBONACCI NUMBERS
Author/Authors :
SOKOL, JANUSZ University of Rzesz´ow - Faculty of Mathematics and Natural Sciences - ul. Prof. Pigonia - Rzesz´ow, Poland , ILHAN, SEDAT Dicle University - Faculty of Science - Department of Mathematics - Diyarbakır, Turkey , and H. OZLEM G ¨ UNEY Dicle University - Faculty of Science - Department of Mathematics - Diyarbakır, Turkey
Abstract :
In this paper, we investigate upper bounds for the second Hankel determinant in several classes of analytic functions in the open unit disc, related to shell-like
curves and connected with Fibonacci numbers.
Keywords :
Analytic functions , shell-like curve , Fibonacci numbers , starlike functions , convex functions , Hankel determinant
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
