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Zbl 1005.30015
Liu, Jin-Lin; Noor, Khalida Inayat
Some properties of Noor integral operator.
(English)
[J] J. Nat. Geom. 21, No.1-2, 81-90 (2002). ISSN 0963-2654

Let $A(p)$ denote the class of functions of the form $$f(z)= z^p+ \sum^\infty_{k=1} a_k z^{p+k}\quad (p\in\bbfN,\ \bbfN= \{1,2,3,\dots\})$$ which are analytic in the unit disc. If $n>-p$ let $f_{n+p-1}= z^p/(1- z)^{n+p}$, and $f^{(-1)}_{n+ p-1}(z)$ be defined such that $f_{n+p-1}(z)* f^{(-1)}_{n+ p-1}(z)= z^p/(1- z)^{p+1}$, where $*$ denotes the Hadamard product. A new operator called by the authors Noor integral'' is defined based on the above definition and its properties are investigated.
[Dov Aharonov (Haifa)]
MSC 2000:
*30C45 Special classes of univalent and multivalent functions
30C50 Coefficient problems for univalent and multivalent functions

Keywords: integral operator; Noor integral operator; Hadamard product

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