Authors: Stephen C. Pearson.
This particular submission contains (inter alia) a copy [PART 1/10] of the author's original paper, which was completed on 5th March 2001 and thus comprises a total of 316 handwritten foolscap pages. Bearing in mind that it is a sequel to the author's previous set of submissions, namely - "An Introduction to Functions of a Quaternion Hypercomplex Variable - PARTS 1/6 to 6/6", its purpose is to enunciate various definitions and theorems, which pertain to the following topics, i.e. (a) the classification of quaternion hypercomplex functions; (b) further calculus of quaternion hypercomplex functions; (c) series expansions of quaternion hypercomplex functions. Many of the concepts presented therein are analogous to well established notions from real and complex variable analysis with any divergent results being due to the non-commutativity of quaternion products.
Comments: 42 Pages.
[v1] 2019-02-27 06:41:13
Unique-IP document downloads: 24 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.