A Note on Length Distortion for Certain Classes of Analytic Functions
Publications de l'Institut Mathématique, (N.S.) 43 (1988) no. 57.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 $\alpha$. 
@article{PIM_1988_N_S_43_57_a8,
     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 - 75},
     publisher = {mathdoc},
     volume = {(N.S.) 43},
     number = {57},
     year = {1988},
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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. https://geodesic-test.mathdoc.fr/item/PIM_1988_N_S_43_57_a8/