Functions and Analysis

    

Division by Zero Calculus and Hyper Exponential Functions by K. Uchida

Authors: Saburou Saitoh, Keitaroh Uchida

In this paper, we will consider the basic relations of the normal solutions (hyper exponential functions by K. Uchida) of ordinary differential equations and the division by zero calculus. In particular, by the concept of division by zero calculus, we extend the concept of Uchida's hyper exponential functions by considering the equations and solutions admitting singularities. Surprisingly enough, by this extension, any analytic functions with any singularities may be considered as Uchida's hyper exponential functions. Here, we will consider very concrete examples as prototype examples.

Comments: 11 Pages.

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Submission history

[v1] 2021-02-22 19:21:15

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