Generalized elliptic integrals

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dc.creatorHeikkala, Ville
dc.creatorVamanamurthy, Mavina K.
dc.creatorVuorinen, Matti
dc.date2007-01-16
dc.date2007-08-08
dc.date.accessioned2026-07-07T08:22:42Z
dc.date.available2026-07-07T08:22:42Z
dc.descriptionJacobi's elliptic integrals and elliptic functions arise naturally from the Schwarz-Christoffel conformal transformation of the upper half plane onto a rectangle. In this paper we study generalized elliptic integrals which arise from the analogous mapping of the upper half plane onto a quadrilateral and obtain sharp monotonicity and convexity properties for certain combinations of these integrals, thus generalizing analogous well-known results for classical conformal capacity and quasiconformal distortion functions.
dc.description32 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0701436
dc.identifierhttp://arxiv.org/abs/math/0701436
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135737
dc.subjectClassical Analysis and ODEs
dc.subjectComplex Variables
dc.subject33B15, 30C62
dc.titleGeneralized elliptic integrals
dc.typetext

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