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Author Gielis, J.; Caratelli, D.; de Jong van Coevorden, M.; Ricci, P.E.
Title The common descent of biological shape description and special functions Type H1 Book chapter
Year (down) 2018 Publication Abbreviated Journal
Volume 230 Issue Pages 119-131 T2 - Differential and difference equations
Keywords H1 Book chapter; Engineering sciences. Technology; Sustainable Energy, Air and Water Technology (DuEL)
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.
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Corporate Author Thesis
Publisher Place of Publication Editor
Language Wos 000451375900010 Publication Date 2018-05-08
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN ISBN 978-3-319-75646-2; 2194-1009; 978-3-319-75647-9; 978-3-319-75646-2 Additional Links UA library record; WoS full record; WoS citing articles
Impact Factor Times cited Open Access
Notes Approved no
Call Number UA @ admin @ c:irua:150949 Serial 7685
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