descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Conference object , Other literature type 01 Jan 2018Publisher:Springer International Publishing

Authors: Gielis, J.; Caratelli, D.; Moreno de Jong van Coevorden, C.; Ricci, P. E.;

doi: 10.1007/978-3-319-75647-9_10

The Common Descent of Biological Shape Description and Special Functions

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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.

Related Organizations

Tomsk Polytechnic University
Russian Federation
Technical University Eindhoven
Netherlands
University of Antwerp
Belgium

Keywords

92C80, 57N25, 54C56, 33C45

1 Research products, page 1 of 1

Local homology properties of boundaries of groups.
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