The Legendre Formula in Clifford Analysis
| Data(s) |
21/07/2016
21/07/2016
2009
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|---|---|
| Resumo |
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. |
| Identificador |
Serdica Mathematical Journal, Vol. 35, No 1, (2009), 61p-74p 1310-6600 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Clifford Analysis #Monogenic Functions #Holomorphic Cliffordian Functions #Elliptic Functions #Weierstrass Zeta Function #Legendre Formula |
| Tipo |
Article |
