本文的主要新工作在于：利用一般多项式表示标准四元数多项式方程的解；
Our important new work is: expressing the solutions of the standard quaternionicpolynomial equation with general polynomial;
一般多项式都可以展开为正交多项式的级数形式，而勒让德多项式、厄米特多项式和拉盖尔多项式都是典型的正交多项式。
All ordinary polynomials have series expansion of orthogonal polynomials, while Legendre polynomials, Hermite polynomials and Laguerre polynomials are special orthogonal polynomials.
目前的多项式处理系统均采用表加工语言LISP或科学计算语言FORTRAN等，在一般串行机上实现。
At present nearly all systems of polynomial manipulation are written by LISP or FORTRAN, and run on a serial computer.
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