Publication:
Properties of functions concerned with Caratheodory functions

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Date

2013

Authors

Nunokawa, Mamoru
Yavuz Duman, Emel
Owa, Shigeyoshi

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Research Projects

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Abstract

Let Pn denote the class of analytic functions p(z) of the form p(z) = 1+ cnzn + cn+1zn+1 + ... in the open unit disc U. Applying the result by S. S. Miller and P. T. Mocanu (J. Math. Anal. Appl. 65 (1978), 289–305), some interesting properties for p(z) concerned with Carath´eodory functions are discussed. Further, some corollaries of the results concerned with the result due to M. Obradović and S. Owa (Math. Nachr. 140 (1989), 97–102) are shown.

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Keywords

Analytic, starlike, Caratheodory function

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