Subordination of functions in subclass of Bazilevič Functions B1(α, β)

Let f be analytic in the unit disc D = {z: |z| < 1} with f(z) = z+ Σ^∞_n=2anzⁿ, and for α ≥ 0 and 0 < β ≤ 1, let B1(α, β), denote for the class of Bazilevič functions satisfying the expression | arg z1-αf'(z)/f(z)1-α | < βπ/2. We give sharp estimates for various coefficient problems for functions in B1(α, β), which unify and extend well-known results for starlike functions, strongly starlike functions and functions whose derivative has positive real part in domain D.