Generalized hyperbolic functions, circulant matrices and functional equations
| dc.creator | Muldoon, Martin E. | |
| dc.date | 1999-10-27 | |
| dc.date | 2005-04-08 | |
| dc.date.accessioned | 2026-07-07T05:31:18Z | |
| dc.date.available | 2026-07-07T05:31:18Z | |
| dc.description | There is a contrast between the two sets of functional equations f_0(x+y) = f_0(x)f_0(y) + f_1(x)f_1(y), f_1(x+y) = f_1(x)f_0(y) + f_0(x)f_1(y), and f_0(x-y) = f_0(x)f_0(y) - f_1(x)f_1(y), f_1(x-y) = f_1(x)f_0(y) - f_0(x)f_1(y) satisfied by the even and odd components of a solution of f(x+y) = f(x) f(y). J. Schwaiger and, later, W. Förg-Rob and J. Schwaiger considered the extension of these ideas to the case where f is sum of n components. Here we shorten and simplify the statements and proofs of some of these results by a more systematic use of matrix notation. | |
| dc.description | 18 pages; corrected and updated version | |
| dc.identifier | https://arxiv.org/abs/math/9910143 | |
| dc.identifier | http://arxiv.org/abs/math/9910143 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79290 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Rings and Algebras | |
| dc.subject | 39B30, 15A57 | |
| dc.title | Generalized hyperbolic functions, circulant matrices and functional equations | |
| dc.type | text |