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On a class of analytic functions involving Ruscheweyh derivatives

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Abstract

Let A(p,k) (p, k in N) be the class of functions f(z)=z^p + a_{p+k}z^{p+k} + cdotsanalytic in the unit disk. We introduce a subclass H(p, k, lambda, delta, A, B)of A(p,k) by using the Ruscheweyh derivative. The object of the present paper isto show some properties of functions in the class H(p, k, lambda, delta, A, B).

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