Functions and Analysis

    

Division by Zero Calculus, Derivatives and Laurent's Expansion

Authors: Saburou Saitoh

Based on a preprint survey pape, we will give a fundamental relation among the basic concepts of division by zero calculus, derivatives and Laurent's expansion as a direct extension of the preprint which gave the generalization of the division by zero calculus to differentiable functions. In particular, we will find a new viewpoint and applications to the Laurent expansion, in particular, to residures in the Laurent expansion. $1/0=0/0=z/0=\tan(\pi/2) =\log 0 =0, (z^n)/n = \log z$ for $n=0$, $e^{(1/z)} = 1$ for $z=0$.　

Comments: 9 Pages. I am writing a book on the division by zero and so I am asking for kind suggestions and comments on the topics.

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Submission history

[v1] 2020-01-27 16:28:38

Unique-IP document downloads: 333 times

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