On the Simple Identity (1/(x-1)) + (1/(x 2)) = (2x 3)/((x 1)(x 2)) and the Expression that G(z,a) + Log |z a| is Harmonic Around Z=a from the Viewpoint of the Division by Zero Calculus

Saburou Saitoh; Yoshinori Saitoh

On the Simple Identity (1/(x-1)) + (1/(x 2)) = (2x 3)/((x 1)(x 2)) and the Expression that G(z,a) + Log |z a| is Harmonic Around Z=a from the Viewpoint of the Division by Zero Calculus

Authors: Saburou Saitoh, Yoshinori Saitoh

In this note, we will refer to the simple identity $(1/(x-1)) + (1/(x -2)) = (2x -3)/((x -1)(x- 2))$ and the expression that $g(z,a) + \log |z - a| $ is harmonic around $z=a$ from the viewpoint of the division by zero calculus that are very popular expressions in elementary mathematics. With these simple and very popular expressions, we would like to show clearly the importance of the division by zero calculus for some general people in a self-contained way.

Comments: 5 Pages.

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[v1] 2022-01-17 17:19:32

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On the Simple Identity (1/(x-1)) + (1/(x 2)) = (2x 3)/((x 1)(x 2)) and the Expression that G(z,a) + Log |z a| is Harmonic Around Z=a from the Viewpoint of the Division by Zero Calculus

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