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A generalization of Witt's formulae

✍ Scribed by Dragomir Z̆ Đ

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
664 KB
Volume
111
Category
Article
ISSN
0021-8693

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📜 SIMILAR VOLUMES

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Let ⌫ be a countable abelian semigroup satisfying a suitable finiteness condition, and let L s [ L be the free Lie algebra generated by a ⌫-graded vector space V over C. In this paper, from the denominator identity, we derive a dimension formula for the homogeneous subspaces of the free Lie algebra

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## Abstract The main goal of this paper is to construct a spatial analog to the __Kolosov–Muskhelishvili formulae__ using the framework of the hypercomplex function theory. We prove a generalization of __Goursat's representation theorem__ for solutions of the biharmonic equation in three dimensions