Email this article Closed formula for the capacity of several aligned segments
- Authors: Bogatyrev A.B.1,2,3, Grigoriev O.A.1
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Affiliations:
- Institute of Numerical Mathematics
- Moscow Institute of Physics and Technology (State University)
- Moscow State University
- Issue: Vol 298, No 1 (2017)
- Pages: 60-67
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174961
- DOI: https://doi.org/10.1134/S0081543817060050
- ID: 174961
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Abstract
We present a universal closed formula in terms of theta functions for the Logcapacity 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).
About the authors
A. B. Bogatyrev
Institute of Numerical Mathematics; Moscow Institute of Physics and Technology (State University); Moscow State University
Author for correspondence.
Email: ab.bogatyrev@gmail.com
Russian Federation, ul. Gubkina 8, Moscow, 119333; Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701; Moscow, 119991
O. A. Grigoriev
Institute of Numerical Mathematics
Email: ab.bogatyrev@gmail.com
Russian Federation, ul. Gubkina 8, Moscow, 119333
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