Differential Calculus of Zeon Functions

  • G. Stacey StaplesEmail author
Part of the following topical collections:
  1. Homage to Prof. W.A. Rodrigues Jr


Analogous to real functions, zeon functions are defined as zeon-valued functions of a zeon variable. In this paper, formal criteria for continuity and differentiability of zeon functions are put on a rigorous footing and the “usual” differentiation rules are formally established. As special cases, zeon extensions of real functions and zeon functions of one real variable are considered.


Zeons Clifford algebras Calculus 

Mathematics Subject Classification

15A66 81R05 



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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsSouthern Illinois University EdwardsvilleEdwardsvilleUSA

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