Singular values and bounded Siegel disks

التفاصيل البيبلوغرافية
العنوان:	Singular values and bounded Siegel disks
المؤلفون:	Benini a, fagella n
المساهمون:	Benini, A, Fagella, N
سنة النشر:	2017
المجموعة:	Università di Parma: CINECA IRIS
الوصف:	Let f be an entire transcendental function of finite order and Delta be a forward invariant bounded Siegel disk for f with rotation number in Herman's class (Formula presented.). We show that if f has two singular values with bounded orbit, then the boundary of Δ contains a critical point. We also give a criterion under which the critical point in question is recurrent. We actually prove a more general theorem with less restrictive hypotheses, from which these results follow.
نوع الوثيقة:	article in journal/newspaper
اللغة:	English
Relation:	info:eu-repo/semantics/altIdentifier/wos/WOS:000440169100004; journal:MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY; http://hdl.handle.net/11381/2867081; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85019675251
DOI:	10.1017/S0305004117000469
الاتاحة:	http://hdl.handle.net/11381/2867081 https://doi.org/10.1017/S0305004117000469
رقم الانضمام:	edsbas.D875B0BA
قاعدة البيانات:	BASE

الوصف
DOI:	10.1017/S0305004117000469