Quaternionic analysis: Difference between revisions

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In [[mathematics]], '''quaternionic analysis''' is the study of functions with [[quaternion]]s as the ___domain and/or range. Such functions can be called '''functions of a quaternion variable''' just as functions of a [[Function of a real variable|real variable]] or functions of a [[complex variable]] are called.

As with complex and real analysis, it is possible to study the concepts of [[analytic function|analyticity]], [[holomorphic function|holomorphy]], [[harmonic function|harmonicity]] and [[conformality]] in the context of quaternions. It is known that forUnlike the complex numbers, theseand four notions coincide; however, forlike the quaternionsreals, and also the real numbers, not all of thefour notions aredo thenot samecoincide.

==Properties==