An upper bound to the second Hankel functional for the class of gamma-starlike functions

Document Type : Research Paper


1 Department of Mathematics‎, ‎GIT‎, ‎GITAM University‎, ‎Visakh-apatnam-530 045‎, ‎Andhra Pradesh‎, ‎India

2 Department of Mathematics, Kakatiya University‎, Warangal- 506009, Telangana State, ‎India.


‎The objective of this paper is to obtain an upper bound to the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$‎ ‎for the function $f$‎, ‎belonging to the class of Gamma-starlike functions‎, ‎using Toeplitz determinants‎. ‎The result presented here include‎ ‎two known results as their special cases‎.


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