Geodesic
A Note on Length Distortion for Certain Classes of Analytic Functions
Publications de l'Institut Mathématique, _N_S_43 (1988) no. 57, p. 71 .

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Some interesting results on length distortion for certain classes of analytic functions have been proved recently by Y. Komatu. We derive some results involving analytic functions satisfying Re$\{f(z)/z\}>\alpha$, starlike functions of order $\alpha$, and convex functions of order $\alpha$.
Classification : 30C45 
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     author = {Shigeyoshi Owa and Shotaro Ogawa},
     title = {A {Note} on {Length} {Distortion} for {Certain} {Classes} of {Analytic} {Functions}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {71 },
     publisher = {mathdoc},
     volume = {_N_S_43},
     number = {57},
     year = {1988},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1988_N_S_43_57_a8/}
}
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Shigeyoshi Owa; Shotaro Ogawa. A Note on Length Distortion for Certain Classes of Analytic Functions. Publications de l'Institut Mathématique, _N_S_43 (1988) no. 57, p. 71 . http://geodesic.mathdoc.fr/item/PIM_1988_N_S_43_57_a8/