Functions and Analysis


Division by Zero Calculus and Singular Integrals

Authors: Saburou Saitoh

What are the singular integrals? Singular integral equations are presently encountered in a wide range of mathematical models, for instance in acoustics, fluid dynamics, elasticity and fracture mechanics. Together with these models, a variety of methods and applications for these integral equations has been developed. In this paper, we will give the interpretation for the Hadamard finite part of singular integrals by means of the division by zero calculus.

Comments: 10 Pages. In this paper, we will show a very interesting interpretation of singular integrals by the division by zero calculus. This may be considered as the basic relation of ZERO and INFINITY through integrals. Furthermore, we will see a similar nature of singula

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Submission history

[v1] 2019-03-24 23:28:16

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