发表机构
Istituto Nazionale di Alta Matematica; Università di Firenze（意大利高等数学研究所; 佛罗伦萨大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在双四元数上构造双切片函数类，包含单侧双四元数多项式，为机构学中多项式因式分解提供新工具，并关联切片正则函数理论。
AI 中文摘要
这项工作在双四元数代数上构造了一个新的函数类：双切片函数，它包含单侧双四元数多项式。因此，双切片函数的特殊性质为理解双四元数多项式的因式分解提供了新工具，该因式分解近年来因其在机构学中的应用而被广泛研究。双切片函数与四元数和双四元数上成熟的切片函数及切片正则函数理论密切相关。
英文摘要
This work constructs a new function class over the algebra of dual quaternions: dual slice functions, which include one-sided dual quaternionic polynomials. The peculiar properties of dual slice functions therefore provide new tools to understand factorization of dual quaternionic polynomials, which was extensively studied in recent years for its applications to mechanism science. Dual slice functions are strictly related to the well-established theory of slice and slice regular functions over quaternions and dual quaternions.
Comments36 pages
