journal-of-interdisciplinary-mathematics Journal of Interdisciplinary Mathematics 2169-012X 0972-0502 Taru Publications 10.47974/JIM-1909 On H3(1) Hankel determinant for starlike and convex functions associated with exponential function Erzig Omar S. Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Ramadi, Al-Anbar, Iraq Juma Abdul Rahman S. Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Ramadi, Al-Anbar, Iraq Al-Fayadh Ali Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad, Iraq 27 4 897 905 30 06 2024

This research aims to present and study the convex subclasses and starlike functions of the analytic functions defined in the open unit disk Ư and to investigate the third-order Hankel determinant H3,1 for these subclasses related to the exponential function. As well as the upper bounds of H2,2 (g) and H3,1 (g) for the convex and starlike functions, and the estimates of the coefficients |d3|,|d4|, and |d5| were obtained.

 Hankel determinant Starlike function Convex function Exponential function Upper bound access open retracted no