Geodesic
Closed Formula for the Capacity of Several Aligned Segments
Informatics and Automation, Complex analysis and its applications, Tome 298 (2017), pp. 67-74

Voir la notice de l'article provenant de la source Math-Net.Ru

We present a universal closed formula in terms of theta functions for the Log-capacity of several segments on a line. The formula for two segments was obtained by N. Achieser (1930); three segments were considered by T. Falliero and A. Sebbar (2001).
Keywords: capacity, theta functions, closed formula. 
@article{TRSPY_2017_298_a4,
     author = {A. B. Bogatyrev and O. A. Grigoriev},
     title = {Closed {Formula} for the {Capacity} of {Several} {Aligned} {Segments}},
     journal = {Informatics and Automation},
     pages = {67--74},
     publisher = {mathdoc},
     volume = {298},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2017_298_a4/}
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A. B. Bogatyrev; O. A. Grigoriev. Closed Formula for the Capacity of Several Aligned Segments. Informatics and Automation, Complex analysis and its applications, Tome 298 (2017), pp. 67-74. http://geodesic.mathdoc.fr/item/TRSPY_2017_298_a4/