Decomposition of k -monogenic functions in superspace.

Autor: Yuan, Hongfen, Qiao, Yuying, Yang, Heju
Předmět:
Zdroj: Complex Variables & Elliptic Equations; Aug2013, Vol. 58 Issue 8, p1109-1124, 16p
Abstrakt: We give the decomposition ofk-monogenic functions in superspace, which not only induces Almansi theorem, but also contacts with Fischer decomposition. Besides, the Painlevé theorem and the uniqueness theorem for monogenic functions in superspace are shown. Furthermore, we deduce the two theorems fork-monogenic functions from the decomposition correspondingly. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index