A table of Legendre-transformation pairs with methodologies for construction, authentication, and approximation of pairs
Classical Analysis and ODEs
2022-08-11 v1
Abstract
An extensive table of pairs of functions linked by the Legendre transformation is presented. Many special functions and formulas that are used in the sciences are included in the pairs. Formulations are provided for finding the Legendre transformations of analytic functions and of polynomial approximations to other functions.
Keywords
Cite
@article{arxiv.2208.05043,
title = {A table of Legendre-transformation pairs with methodologies for construction, authentication, and approximation of pairs},
author = {Quinn T. Kolt and Steven J. Kilner and David L. Farnsworth},
journal= {arXiv preprint arXiv:2208.05043},
year = {2022}
}
Comments
26 pages, 16 pages for table, 2 figures