Geodesic
The Legendre Formula in Clifford Analysis
Serdica Mathematical Journal, Tome 35 (2009) no. 1, pp. 61-74 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

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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.
Keywords: Clifford Analysis, Monogenic Functions, Holomorphic Cliffordian Functions, Elliptic Functions, Weierstrass Zeta Function, Legendre Formula 
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     author = {Laville, Guy and Ramadanoff, Ivan},
     title = {The {Legendre} {Formula} in {Clifford} {Analysis}},
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Laville, Guy; Ramadanoff, Ivan. The Legendre Formula in Clifford Analysis. Serdica Mathematical Journal, Tome 35 (2009) no. 1, pp. 61-74. http://geodesic.mathdoc.fr/item/SMJ2_2009_35_1_a3/