A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Generalized elliptic integrals and the Legendre M-function
Tekijät: Heikkala V., Lindén H., Vamanamurthy M., Vuorinen M.
Julkaisuvuosi: 2008
Journal: Journal of Mathematical Analysis and Applications
Tietokannassa oleva lehden nimi: Journal of Mathematical Analysis and Applications
Vuosikerta: 338
Numero: 1
Aloitussivu: 223
Lopetussivu: 243
Sivujen määrä: 21
ISSN: 0022-247X
DOI: https://doi.org/10.1016/j.jmaa.2007.05.020
Verkko-osoite: http://api.elsevier.com/content/abstract/scopus_id:34548859833
Tiivistelmä
We study monotonicity and convexity properties of functions arising in the theory of elliptic integrals, and in particular in the case of a Schwarz-Christoffel conformal mapping from a half-plane to a trapezoid. We obtain sharp monotonicity and convexity results for combinations of these functions, as well as functional inequalities and a linearization property. © 2007 Elsevier Inc. All rights reserved.
We study monotonicity and convexity properties of functions arising in the theory of elliptic integrals, and in particular in the case of a Schwarz-Christoffel conformal mapping from a half-plane to a trapezoid. We obtain sharp monotonicity and convexity results for combinations of these functions, as well as functional inequalities and a linearization property. © 2007 Elsevier Inc. All rights reserved.
Turun yliopiston Tutkimustietojärjestelmän portaali