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AuthorEl Mostafa, Kalmoun
AuthorNasser, Mohamed M.S.
AuthorVuorinen, Matti
Available date2024-03-12T10:41:58Z
Publication Date2020-06-29
Publication NameJournal of Mathematical Analysis and Applications
Identifierhttp://dx.doi.org/10.1016/j.jmaa.2020.124328
CitationKalmoun, E. M., Nasser, M. M., & Vuorinen, M. (2020). Numerical computation of Mityuk's function and radius for circular/radial slit domains. Journal of Mathematical Analysis and Applications, 490(2), 124328.
ISSN0022-247X
URIhttps://www.sciencedirect.com/science/article/pii/S0022247X2030490X
URIhttp://hdl.handle.net/10576/52962
AbstractWe consider Mityuk's function and radius which have been proposed in [15] as generalizations of the reduced modulus and conformal radius to the cases of multiply connected domains. We present a numerical method to compute Mityuk's function and radius for canonical domains that consist of the unit disk with circular/radial slits. Our method is based on the boundary integral equation with the generalized Neumann kernel. Special attention is given to the validation of the theoretical results on the existence of critical points and the boundary behavior of Mityuk's radius.
Languageen
PublisherElsevier
SubjectMityuk's function/radius
Reduced modulus
Conformal radius
Numerical conformal mapping
TitleNumerical computation of Mityuk's function and radius for circular/radial slit domains
TypeArticle
Issue Number2
Volume Number490
ESSN1096-0813
dc.accessType Open Access


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