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

How to Cite?: M. Elumalai, C. Selvaraj, "Second Hankel Determinant for Multivalent Spirallike and Convex Functions of Order Alpha", Volume 5 Issue 4, April 2016, International Journal of Science and Research (IJSR), Pages: 2029-2034, https://www.ijsr.net/getabstract.php?paperid=NOV163086, DOI: https://dx.doi.org/10.21275/NOV163086