Geodesic
Schwarz problem in lens and half lens
Eurasian mathematical journal, Tome 10 (2019) no. 2, pp. 49-64

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We consider the Schwarz boundary value problem (BVP) for the inhomogeneous Cauchy–Riemann equation in lenses and half lenses. By the technique of parqueting–reflection and the Cauchy–Pompeiu representation formula for lenses and half lenses, the Cauchy–Schwarz representation formula is obtained. Also, the solution of the Schwarz BVP is explicitly obtained. 
@article{EMJ_2019_10_2_a3,
     author = {F. Joveini and M. Akbari},
     title = {Schwarz problem in lens and half lens},
     journal = {Eurasian mathematical journal},
     pages = {49--64},
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     volume = {10},
     number = {2},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2019_10_2_a3/}
}
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F. Joveini; M. Akbari. Schwarz problem in lens and half lens. Eurasian mathematical journal, Tome 10 (2019) no. 2, pp. 49-64. http://geodesic.mathdoc.fr/item/EMJ_2019_10_2_a3/