Analog of the Cauchy's formula in non-degenerate polynumbers spaces
2010jcw | Pavlov D.G., Garasko G.I.  // Research Institute of Hypercomplex Systems in Geometry and Physics, Friazino, Russia, geom2004@mail.ru, gri9z@mail.ru

Obtained was an analog for Cauchy's formula for non-degenerate commutative-associative hypercomplex numbers (polynumbers), including algebra of complex numbers or direct summ of complex algebras as means of subalgebra. Therewith manifested are the reasons why Cauchy's formula in polynumbers Hn which are the direct sums of nothing but actual algebras is so hard to obtain.

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