On univalent functions defined by a generalized Sălăgean operator

F. M. Al-Oboudi

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-8

Abstract:

We introduce a class of univalent functions R n ( λ , α ) defined by a new differential operator D n f ( z ) , n ∈ ℕ 0 = { 0 , 1 , 2 , … } , where D 0 f ( z ) = f ( z ) , D 1 f ( z ) = ( 1 − λ ) f ( z ) + λ z f ′ ( z ) = D λ f ( z ) , λ ≥ 0 , and D n f ( z ) = D λ ( D n − 1 f ( z ) ) . Inclusion relations, extreme points of R n ( λ , α ) , some convolution properties of functions belonging to R n ( λ , α ) , and other results are given.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:172525

DOI: 10.1155/S0161171204108090

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