Radius problem for the class of analytic functions based on Ruscheweyh derivative
Mohapatra, S. K.
Let ???? be the class of analytic functions f (z) with the normalized condition f(0) = f 0(0)−1 = 0 in the open unit disk U. Bymaking use of Ruscheweyh derivative operator, a new subclass ????(β1, β2, β3, β4; λ) of f(z) ∈ ???? satisfying the inequality for some complex numbers β1, β2, β3, β4 and for some real λ > 0 is introduced. The object of the present paper is to obtain some properties of the function class ???? (β1, β2, β3, β4; λ). Also the radius problems of satisfies the condition is considered.