Publication
Title
The common descent of biological shape description and special functions
Author
Abstract
Gielis transformations, with their origin in botany, are used to define square waves and trigonometric functions of higher order. They are rewritten in terms of Chebyshev polynomials. The origin of both, a uniform descriptor and the origin of orthogonal polynomials, can be traced back to a letter of Guido Grandi to Leibniz in 1713 on the mathematical description of the shape of flowers. In this way geometrical description and analytical tools are seamlessly combined.
Language
English
Source (book)
Differential and difference equations with applications : ICDDEA, Amadora, Portugal, June 2017 / Pinelas, S. [edit.]; et al.
Source (series)
Springer proceedings in mathematics & statistics ; 230
Publication
New york : Springer , 2018
ISSN
2194-1009
ISBN
978-3-319-75646-2
978-3-319-75646-2
978-3-319-75647-9
Volume/pages
230 (2018) , p. 119-131
ISI
000451375900010
Full text (Publisher's DOI)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 07.05.2018
Last edited 27.09.2021
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