One-parameter families of functions in the Pick class

dc.creatorPaluba, Waldemar
dc.date2007-04-13
dc.date.accessioned2026-07-07T07:56:31Z
dc.date.available2026-07-07T07:56:31Z
dc.descriptionIn the one-parameter family of power-law maps of the form $f_a(x)=-|x|^α+a,$ $α>1,$ we give examples of mutually related dynamically determined quantities, depending on the parameter $a$, such that one is a Pick function of the following one. These Pick functions are extendable by reflection through the $(1,+\infty)$ half-axis and have completely monotone derivatives there.
dc.identifierhttps://arxiv.org/abs/0704.1716
dc.identifierhttp://arxiv.org/abs/0704.1716
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127338
dc.subjectDynamical Systems
dc.subject30C20, 37F45
dc.titleOne-parameter families of functions in the Pick class
dc.typetext

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