2,282 research outputs found
A note on a class of -valent starlike functions of order beta
In this paper we obtain sharp coefficient bounds for certain -valent
starlike functions of order , . Initially this problem was
handled by Aouf in "M. K. Aouf, On a class of -valent starlike functions of
order , Internat. J. Math. Math. Sci. 1987;10:733--744". We
pointed out that the proof given by Aouf was incorrect and a correct proof is
presented in this paper.Comment: 6 pages, 1 table, submitted to a journa
Bounds for the Second Hankel Determinant of Certain Univalent Functions
The estimates for the second Hankel determinant a_2a_4-a_3^2 of analytic
function f(z)=z+a_2 z^2+a_3 z^3+...b for which either zf'(z)/f(z) or
1+zf"(z)/f'(z) is subordinate to certain analytic function are investigated.
The estimates for the Hankel determinant for two other classes are also
obtained. In particular, the estimates for the Hankel determinant of strongly
starlike, parabolic starlike, lemniscate starlike functions are obtained
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