4 papers
Jacobi Elliptic Cliffordian Functions
Guy Laville, Ivan Ramadanoff
The well-known Jacobi elliptic functions sn(z)cn(z), dn(z) are defined in higher dimensional spaces by the following method. Consider the Clifford algebra of the antieuclidean…
Elliptic Cliffordian Functions
Guy Laville, Ivan Ramadanoff
In the study of holomorphic functions of one complex variable, one well-known theory is that of elliptic functions and it is possible to take the zeta-function of Weierstrass as a…
Fonctions Holomorphes Cliffordiennes
Guy Laville, Ivan Ramadanoff
Soit R\_{0,2m+1} l'algèbre de Clifford de R^{2m+1} muni d'une forme quadratique de signature négative, D = \sum\_{i=0}^{2m+1} e\_i {\partial\over \partial x\_i}, Δle Laplacien ordi…
Holomorphic Cliffordian Functions
Guy Laville, Ivan Ramadanoff
The aim of this paper is to put the fundations of a new theory of functions, called holomorphic Cliffordian, which should play an essential role in the generalization of holomorphi…