Geodesic
$\mathbb R$-linear Conjugation Problem for a Confocal Elliptical Annulas
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 4, pp. 137-146

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Analytical closed-form solution is presented for $\mathbb R$-linear conjugation problem for a confocal elliptical annulas. Solution is found in the class of piece-wise holomorphic functions with fixed finite value at infinity.
Keywords: heterogeneous media, $\mathbb R$-linear conjugation problem, holomorphic functions. 
@article{UZKU_2008_150_4_a11,
     author = {Yu. V. Obnosov},
     title = {$\mathbb R$-linear {Conjugation} {Problem} for {a~Confocal} {Elliptical} {Annulas}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {137--146},
     publisher = {mathdoc},
     volume = {150},
     number = {4},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2008_150_4_a11/}
}
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Yu. V. Obnosov. $\mathbb R$-linear Conjugation Problem for a Confocal Elliptical Annulas. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 4, pp. 137-146. http://geodesic.mathdoc.fr/item/UZKU_2008_150_4_a11/