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Differential Calculus of Zeon Functions

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Southern Illinois University Edwardsville, Edwardsville, IL , 62026-1653, USA

    G. Stacey Staples

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  1. G. Stacey Staples
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Correspondence to G. Stacey Staples.

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This article is part of the Topical Collection on Homage to Prof. W.A. Rodrigues Jr. edited by Jayme Vaz Jr.

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Staples, G.S. Differential Calculus of Zeon Functions. Adv. Appl. Clifford Algebras 29, 25 (2019). https://doi.org/10.1007/s00006-019-0943-6

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  • DOI: https://doi.org/10.1007/s00006-019-0943-6

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