Second Hankel determinant for bi-starlike and bi-convex functions of order beta

作者：Deniz Erhan^*; Caglar Murat; Orhan Halit

来源：Applied Mathematics and Computation, 2015, 271: 301-307.

DOI：10.1016/j.amc.2015.09.010

• Bi-univalent functions
• Bi-starlike functions of order beta
• Bi-convex functions of order beta
• Seamd Hankel determinant

In the present investigation the authors obtain upper bounds for the second Hankel determinant H-2(2) of the classes bi-starlike and bi-convex functions of order beta, represented by S-sigma*(beta) and K-sigma(beta), respectively. In particular, the estimates for the second Hankel determinant H-2(2) of bi-starlike and bi-convex functions which are important subclasses of bi-univalent functions are pointed out.

• 出版日期2015-11-15