# The Takagi Function and Its Properties

• Published in 2011
In the collections
The Takagi function is a continuous non-differentiable function on [0,1] introduced by Teiji Takagi in 1903. It has since appeared in a surprising number of different mathematical contexts, including mathematical analysis, probability theory and number theory. This paper surveys the known properties of this function as it relates to these fields.

## Other information

key
TheTakagiFunctionandItsProperties
type
article
2019-03-04
date_published
2011-02-02

### BibTeX entry

@article{TheTakagiFunctionandItsProperties,
key = {TheTakagiFunctionandItsProperties},
type = {article},
title = {The Takagi Function and Its Properties},
author = {Jeffrey C. Lagarias},
abstract = {The Takagi function is a continuous non-differentiable function on [0,1]
introduced by Teiji Takagi in 1903. It has since appeared in a surprising
number of different mathematical contexts, including mathematical analysis,
probability theory and number theory. This paper surveys the known properties
of this function as it relates to these fields.},
comment = {},
}