Second Hankel determinant for a certain subclass of bi-close to convex functions defined by Kaplan

2015/09/12 by Kanas, S., Sivasankari, V., Karthiyayini, O. +1
#Complex Variables (math.CV) #FOS: Mathematics #Primary 30C80 #Secondary 30C35

paper · doi:10.48550/arxiv.1509.03751

Abstract

In this paper, we consider the class of strongly bi-close-to-convex functions of order α and bi-close-to-convex functions of order β. We obtain an upper bound estimate for the second Hankel determinant for functions belonging to these classes. The results in this article improve some earlier result obtained for the class of bi-convex functions.

Related

• Second Hankel Determinant for certain class of bi-univalent functions defined by Chebyshev polynomials
• Hankle determinant for starlike and convex functions of order
• Bounds for the second Hankel determinant of certain bi-univalent functions
• Second Hankel determinant for certain subclasses of bi-univalent\n functions involving Chebyshev polynomials
• Improved upper bound of third order Hankel determinant for Ozaki close-to-convex functions