Second Hankel Determinant for Multivalent Spirallike and Convex Functions of Order Alpha

M. Elumalai, C. Selvaraj

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.

Keywords: Analytic functions, multivalent functions, $alpha-$ spiral starlike functions, convex $alpha-$ spiral function, upper bound, second hankel functional, positive real function, Toeplitz determinants