Upper bound of the second Hankel determinant for a subclass of analytic functions

Year 2014, Volume: 2 Issue: 1, 53 - 58, 01.04.2014

Gagandeep Singh Gurcharanjit Singh

Abstract

In the present investigation an upper bound of second Hankel determinant a aa23 24 for the functions belonging to

Keywords

Analytic functions, Subordination, Schwarz function, Second Hankel determinant

Upper bound of the second Hankel determinant for a subclass of analytic functions

Abstract

References

• R. N. Das and P. Singh, on subclasses of schlicht mappings, Indian J. Pure Appl. Math., 8(1977), 864-872.
• R. M. Goel and B. S. Mehrok, A subclass of starlike functions with respect to symmetric points, Tamkang J. Math., 13(1)(1982), 11-24.
• Aini Janteng, Suzeini Abdul Halim and Maslina Darus, Coefficient inequality for a function whose derivative has a positive real part, J. Ineq. Pure Appl. Math., 7(2) (2006), 1-5.
• Aini Janteng, Suzeini Abdul Halim and Maslina Darus, Hankel determinant for starlike and convex functions, Int. J. Math. Anal., 1(13) (2007), 619-625.
• Aini Janteng, Suzeini Abdul Halim and Maslina Darus (2006), Hankel determinant for functions starlike and convex with respect to symmetric points, J. Quality Measurement and Anal., 2(1),37-43.
• R. J. Libera and E-J. Zlotkiewiez, Early coefficients of the inverse of a regular convex function, Proc. Amer. Math. Soc., 85(1982), 225-230.
• R. J. Libera and E-J. Zlotkiewiez, Coefficient bounds for the inverse of a function with derivative in P, Proc. Amer. Math. Soc., 87(1983), 251-2