Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624093 | Journal of Mathematical Analysis and Applications | 2006 | 10 Pages |
Abstract
Generator of the complex algebra within the framework of general formulation obeys the quadratic equation. In this paper we explore multicomplex algebra with the generator obeying n-order polynomial equation with real coefficients. This algebra induces generalized trigonometry ((n+1)-gonometry), underlies of the nth order oscillator model and nth order Hamilton equations. The solution of an evolution equation generated by (n×n) matrix is represented via the set of (n+1)-gonometric functions. The general form of the first constant of motion of the evolution equation is established.
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