Upper bound of second Hankel determinant for a new class of analytic functions

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

‎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.  

an upper bound to the second hankel functional for the class of gamma-starlike functions

‎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.

Second Hankel Determinant for Certain Classes of Analytic Functions

G. Shanmugam, Research Scholar, Department of Mathematics, Madras Christian College, Tambaram, Tamil Nadu, India. E-mail: [email protected] B. Adolf Stephen, Associate Professor, Department of Mathematics, Madras Christian College, Tambaram, Tamil Nadu, India. E-mail: [email protected] K. G. Subramanian, Professor, School of Computer Sciences, Universiti Sains Malaysia, 11800 USM, ...

Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative

Also let S, S∗ β , CV β , and K denote, respectively, the subclasses of A0 consisting of functions which are univalent, starlike of order β, convex of order β cf. 1 , and close-to-convex cf. 2 in U. In particular, S∗ 0 S∗ and CV 0 CV are the familiar classes of starlike and convex functions in U cf. 2 . Given f and g inA, the function f is said to be subordinate to g in U if there exits a funct...

Bounds of Hankel Determinant for a Class of Univalent Functions