no. 2
The classification of curvilinear angles in the complex plane and the groups of ± holomorphic diffeomorphisms
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 7 (1998) no. 2, pp. 313-334. 
@article{AFST_1998_6_7_2_313_0,
     author = {Nakai, Isao},
     title = {The classification of curvilinear angles in the complex plane and the groups of $\pm $ holomorphic diffeomorphisms},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {313--334},
     publisher = {Universit\'e Paul Sabatier. Facult\'e des sciences},
     address = {Toulouse},
     volume = {Ser. 6, 7},
     number = {2},
     year = {1998},
     mrnumber = {1656172},
     zbl = {0958.32003},
     language = {en},
     url = {http://www.numdam.org/item/AFST_1998_6_7_2_313_0/}
}
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Nakai, Isao. The classification of curvilinear angles in the complex plane and the groups of $\pm $ holomorphic diffeomorphisms. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 7 (1998) no. 2, pp. 313-334. http://www.numdam.org/item/AFST_1998_6_7_2_313_0/

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