Geodesic
Properties of functions concerned with Caratheodory functions
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 67 (2013) no. 2.

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Let 𝒫_n denote the class of analytic functions p(z) of the form p(z)=1+c_nz^n+c_n+1z^n+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 Caratheodory functions are discussed. Further, some corollaries of the results concerned with the result due to M. Obradovic and S. Owa (Math. Nachr. 140 (1989), 97-102) are shown.
Keywords: Analytic, starlike, Caratheodory function. 
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Nunokawa, Mamoru; Duman, Emel Yavuz; Owa, Shigeyoshi. Properties of functions concerned with Caratheodory functions. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 67 (2013) no. 2. http://geodesic.mathdoc.fr/item/AUM_2013_67_2_a4/

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