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In this paper we introduce and investigate an interesting subclass LB ̇ . / of analytic and bi-univalent functions in the open unit disk U. For functions belonging to the class LB h;p ̇ . /, we obtain estimates on the first two Taylor-Maclaurin coefficients a2 and a3. The results presented in this paper would generalize and improve some recent work of Joshi et al. [5]. 2010 Mathematics Subject Classification: 30C45

Coefficient estimates for a class of analytic bi-univalent functions related to pseudo-starlike functions