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.
@article{bwmeta1.element.doi-10_2478_v10062-012-0028-7,
author = {Mamoru Nunokawa and Emel Yavuz and Shigeyoshi Owa},
title = {Properties of functions concerned with Carath\'eodory functions},
journal = {Annales UMCS, Mathematica},
volume = {67},
year = {2013},
pages = {33-41},
zbl = {1293.30030},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-012-0028-7}
}
Mamoru Nunokawa; Emel Yavuz; Shigeyoshi Owa. Properties of functions concerned with Carathéodory functions. Annales UMCS, Mathematica, Tome 67 (2013) pp. 33-41. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-012-0028-7/
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