Open AccessDe Rham’s Singular Function and Related Functions
Author(s) -
Lothar Berg,
Manfred Krüppel
Publication year - 2000
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/947
Subject(s) - function (biology) , mathematics , mathematical analysis , biology , evolutionary biology
For de Rham's singular function we derive new properties, in particular some formulas which express its self-similarity. Inversions and compositions of de Rham's function are considered as well as generalizations of de Rham's functional equations which have a connection to the (3n + 1)-iteration of Collatz.
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