## International Journal of Neutrosophic Science

##### Journal DOI

https://doi.org/10.54216/IJNS

2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 11 , Issue 2 , PP: 100-107, 2020 | Cite this article as | XML | Html | PDF | Full Length Article

### The General Exponential form of a Neutrosophic Complex Number

• 1 Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, KSA - (y.alhasan@psau.edu.sa)
• Doi: https://doi.org/10.54216/IJNS.0110204

Received: Jun 25, 2020 Accepted: Octobre 14, 2020
##### Abstract

In this paper, the general exponential form of a neutrosophic complex number is defined by virtue of the formula for indeterminacy in the angle (θ+ϑI), where (θ+ϑI) is the indeterminate angle between two indeterminate parts of the coordinate axes (x-axis and y-axis), and the general trigonometric form of a neutrosophic complex number is defined. In addition, we also provide theorems with proofs for how to find the conjugate of neutrosophic complex numbers by using the general exponential form, division of neutrosophic complex numbers by the general exponential form, multiplying two neutrosophic complex numbers by the general exponential form, and the inverted neutrosophic complex number by the general exponential form.

##### Keywords :

classical neutrosophic numbers, neutrosophic complex numbers, indeterminacy, conjugate, the general exponential form

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