Entire functions whose Julia sets include any finitely many copies of quadratic Julia sets
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DOI: 10.1088/1361-6544/aa6c01
Abstract: We prove that for any finite collection of quadratic Julia sets, a polynomial and a transcendental entire function exist whose Julia sets include copies of the given quadratic Julia sets. In order to prove the… read more here.
Keywords: sets include; functions whose; quadratic julia; whose julia ... See more keywords
Rings of functions whose closure of discontinuity set is in an ideal of closed sets
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DOI: 10.2298/fil2427537d
Abstract: Let P be an ideal of closed subsets of a T1 topological space X. Suppose C(X)P is the ring of all real-valued functions on X whose closure of discontinuity set is a member of P.… read more here.
Keywords: functions whose; whose closure; closure discontinuity; ideal closed ... See more keywords