The Legendre Formula in Clifford Analysis

Laville, Guy, and Ramadanoff, Ivan. "The Legendre Formula in Clifford Analysis." Serdica Mathematical Journal 35.1 (2009): 61-74. <http://eudml.org/doc/281375>.

@article{Laville2009,
abstract = {2000 Mathematics Subject Classification: 30A05, 33E05, 30G30, 30G35, 33E20.Let R0,2m+1 be the Clifford algebra of the antieuclidean 2m+1 dimensional space. The elliptic Cliffordian functions may be generated by the z2m+2 function, analogous to the well-known Weierstrass z-function. The latter satisfies a Legendre equality. We prove a corresponding formula at the level of the monogenic function Dm z2m+2.},
author = {Laville, Guy, Ramadanoff, Ivan},
journal = {Serdica Mathematical Journal},
keywords = {Clifford Analysis; Monogenic Functions; Holomorphic Cliffordian Functions; Elliptic Functions; Weierstrass Zeta Function; Legendre Formula; Clifford analysis; monogenic functions; holomorphic Cliffordian functions; elliptic functions; Weierstrass zeta function; Legendre formula},
language = {eng},
number = {1},
pages = {61-74},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {The Legendre Formula in Clifford Analysis},
url = {http://eudml.org/doc/281375},
volume = {35},
year = {2009},
}

TY - JOUR
AU - Laville, Guy
AU - Ramadanoff, Ivan
TI - The Legendre Formula in Clifford Analysis
JO - Serdica Mathematical Journal
PY - 2009
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 35
IS - 1
SP - 61
EP - 74
AB - 2000 Mathematics Subject Classification: 30A05, 33E05, 30G30, 30G35, 33E20.Let R0,2m+1 be the Clifford algebra of the antieuclidean 2m+1 dimensional space. The elliptic Cliffordian functions may be generated by the z2m+2 function, analogous to the well-known Weierstrass z-function. The latter satisfies a Legendre equality. We prove a corresponding formula at the level of the monogenic function Dm z2m+2.
LA - eng
KW - Clifford Analysis; Monogenic Functions; Holomorphic Cliffordian Functions; Elliptic Functions; Weierstrass Zeta Function; Legendre Formula; Clifford analysis; monogenic functions; holomorphic Cliffordian functions; elliptic functions; Weierstrass zeta function; Legendre formula
UR - http://eudml.org/doc/281375
ER -