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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:

Authors : ; ;

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;

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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.

Last modified: 2021-07-01 14:33:56