Second Hankel Determinant for Multivalent Spirallike and Convex Functions of Order Alpha
Journal: International Journal of Science and Research (IJSR) (Vol.5, No. 4)Publication Date: 2016-04-05
Authors : M. Elumalai; C. Selvaraj;
Page : 2029-2034
Keywords : Analytic functions; multivalent functions; $alpha-$ spiral starlike functions; convex $alpha-$ spiral function; upper bound; second hankel functional; positive real function; Toeplitz determinants;
Abstract
The objective of this paper is to obtain an upper bounded to the second Hankel determinant $|a_{p+1}a_{p+3}-a_{p+2}^2|$ for $alpha-$ spiral starlike and convex $alpha-$ spiral function of $f$ and using Teoplitz determinants.
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