A NUMERICAL STUDY OF SOME FRACTAL PROPERTIES OF RIEMANNS NON-DIFFERENTIABLE FUNCTION

Authors
STIASSNIE M HADAD A
Citation
M. Stiassnie et A. Hadad, A NUMERICAL STUDY OF SOME FRACTAL PROPERTIES OF RIEMANNS NON-DIFFERENTIABLE FUNCTION, Chaos, solitons and fractals, 5(11), 1995, pp. 2145-2152
Citations number
2
Categorie Soggetti
Mathematics,Mechanics,Engineering,"Physics, Applied
Journal title
Chaos, solitons and fractals → ACNP
ISSN journal
09600779
Volume
5
Issue
11
Year of publication
1995
Pages
2145 - 2152
Database
ISI
SICI code
0960-0779(1995)5:11<2145:ANSOSF>2.0.ZU;2-O
Abstract
The fractal dimensions, Db and the multifractal singularity distributi on functions, F(alpha) for Riemann's 'non-differentiable' functions ar e calculated numerically and presented here for the first time, The ne w fractal results are discussed through comparison with some analytica lly known properties of Riemann's functions. Almost all analytical pro perties are revealed in our numerical results.