A2 Vertaisarvioitu katsausartikkeli tieteellisessä lehdessä
On Computation of Capacities and Conformal Invariants
Tekijät: Nasser, Mohamed M. S.; Vuorinen, Matti
Kustantaja: Springer Science and Business Media LLC
Julkaisuvuosi: 2026
Lehti: Journal of Mathematical Sciences
ISSN: 1072-3374
eISSN: 1573-8795
DOI: https://doi.org/10.1007/s10958-025-08141-0
Julkaisun avoimuus kirjaamishetkellä: Avoimesti saatavilla
Julkaisukanavan avoimuus : Osittain avoin julkaisukanava
Verkko-osoite: https://doi.org/10.1007/s10958-025-08141-0
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/523213474
Rinnakkaistallenteen lisenssi: CC BY
Rinnakkaistallennetun julkaisun versio: Kustantajan versio
We give a survey of the computation of the conformal capacity of planar condensers, generalized capacity, and logarithmic capacity with emphasis on our recent work 2020–2025. We also discuss some applications of our method based on the boundary integral equation with the generalized Neumann kernel to the computation of several other conformal invariants: harmonic measure, modulus of a quadrilateral, reduced modulus, hyperbolic capacity, and elliptic capacity. Here, the solution of the mixed Dirichlet-Neumann boundary value problem for the Laplace equation has a key role. At the end of the paper, we give a topic-wise structured list of our extensive bibliography on constructive complex analysis and potential theory.
Ladattava julkaisu This is an electronic reprint of the original article. |  |
Julkaisussa olevat rahoitustiedot:
Open Access funding provided by University of Turku (including Turku University Central Hospital).
