De Rham’s Singular Function and Related Functions
Lothar BergUniversität Rostock, Germany
Manfred KrüppelUniversität Rostock, Germany
For de Rham’s singular function we derive new properties, in particular some for-mulas 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 )-iteration of Collatz.
Cite this article
Lothar Berg, Manfred Krüppel, De Rham’s Singular Function and Related Functions. Z. Anal. Anwend. 19 (2000), no. 1, pp. 227–237DOI 10.4171/ZAA/947