Journal of the Ramanujan Mathematical Society

Abstract

The classes M_n, n = 0, 1,2, of analytic functions in the unit disc with f(0) = f' (0) - 1 = 0 satisfying Re [ Dⁿ⁺¹f/ Dⁿf]<β_n for suitable β_n > 1 are introduced (D<sup<nf denotes the Ruscheweyh's derivative). The univalence problem for those classes and some integral transformations are considered.

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