New Families of Bi-univalent Functions Associated with the Bazilevic Functions and the ?-Pseudo-Starlike Functions

In this article, we define two new families T-Sigma(mu, gamma, lambda; alpha) and T-Sigma*(mu, gamma, lambda; beta) of normalized holomorphic and bi-univalent functions which involve the Bazilevic. functions and the lambda-pseudo-starlike functions. For functions in each of these families, we establish the bounds for vertical bar a(2)vertical bar and vertical bar a(3)vertical bar, where a(2) and a(3) are the initial Taylor-Maclaurin coefficients. We also point out several special cases and consequences of our results.