Coefficient estimates for new subclasses of Ma-Minda bi-univalent functions

作者：Tang, Huo^*; Deng, Guan-Tie; Li, Shu-Hai

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013, 2013(1): 317.

DOI：10.1186/1029-242X-2013-317

• analytic and univalent functions
• bi-univalent functions
• coefficient estimates
• subordination

In this paper, we introduce and investigate two new subclasses H-sigma(mu) (lambda,phi) and M-sigma(gamma) (lambda, mu, phi) of Ma-Minda bi-univalent functions defined by using subordination in the open unit disk D = {z is an element of C : vertical bar z vertical bar < 1}. For functions belonging to these new subclasses, we obtain estimates for the initial coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar. The results presented in this paper would generalize those in related works of several earlier authors.

• 单位
  赤峰学院; 北京师范大学