Geodesic
On the change in moduli under circular symmetrization
Matematičeskie zametki, Tome 10 (1971) no. 5, pp. 527-532.

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It is shown that under circular symmetrization of multiply-connected domains the moduli of families of curves separating two particular boundary components can be changed in any direction. This is also true for the moduli of families of arcs joining particular boundary components of a domain. 
@article{MZM_1971_10_5_a5,
     author = {P. M. Tamrazov},
     title = {On the change in moduli under circular symmetrization},
     journal = {Matemati\v{c}eskie zametki},
     pages = {527--532},
     publisher = {mathdoc},
     volume = {10},
     number = {5},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_5_a5/}
}
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P. M. Tamrazov. On the change in moduli under circular symmetrization. Matematičeskie zametki, Tome 10 (1971) no. 5, pp. 527-532. http://geodesic.mathdoc.fr/item/MZM_1971_10_5_a5/