THE GRADIENT AND PARTIAL DERIVATIVES OF BICOMPLEX NUMBERS: A COMMUTATIVE-QUATERNION APPROACH-Reference-Cited by-同舟云学术

THE GRADIENT AND PARTIAL DERIVATIVES OF BICOMPLEX NUMBERS: A COMMUTATIVE-QUATERNION APPROACH

Published:2024-01-31 Issue:1 Volume:7 Page:48-55
ISSN:2618-5660
Container-title:Journal of Universal Mathematics
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Author:

ATASOY Ali¹^ORCID

Affiliation:

1. KIRIKKALE UNIVERSITY

Abstract

The study of bicomplex numbers, specifically commutative-quaternions, offers a fascinating exploration into the properties of complexified quaternions with commutative multiplication. Understanding the gradient and partial derivatives within this mathematical framework is crucial for analyzing the behavior of bicomplex functions. Real quaternions are not commutative but bicomplex numbers are commutative by multiplication. Bicomplex numbers are the special case of real quaternions. In this study, gradient and partial derivatives are obtained for bicomplex number valued functions.

Publisher

Journal of Universal Mathematics

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