Geodesic
The asymptotics of module of a degenerating condenser
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 14, Tome 237 (1997), pp. 56-73 Cet article a éte moissonné depuis la source Math-Net.Ru

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The well-known asymptotic formula for the module of a condenser with one of the plates degenerating to a point is generalized to the case of a condenser of general type. The condensers under consideration consist of $n$ plates, $n\ge2$, and the potential functions of condensers take values of different signs on the plates. The asymptotics are considered when one of the plates is fixed while the other $n-1$ plates are constracted to points. Applications of the formula to geometric function theory are given. Among them are inequalities for complex numbers and Green functions and also theorems on the extremal decomposition and distortion theorems for univalent functions. 
@article{ZNSL_1997_237_a6,
     author = {V. N. Dubinin},
     title = {The asymptotics of module of a degenerating condenser},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {56--73},
     year = {1997},
     volume = {237},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_237_a6/}
}
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V. N. Dubinin. The asymptotics of module of a degenerating condenser. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 14, Tome 237 (1997), pp. 56-73. http://geodesic.mathdoc.fr/item/ZNSL_1997_237_a6/