[12] **viXra:1902.0508 [pdf]**
*submitted on 2019-02-28 06:04:36*

**Authors:** Stephen C. Pearson.

**Comments:** 42 Pages.

This particular submission contains a copy [PART 5/10] of the author's original paper and is therefore a continuation of his previous submission, namely - "A Supplementary Discourse on the Classification and Calculus of Quaternion Hypercomplex Functions - PART 4/10", which has been published under the 'VIXRA' Mathematics subheading:- 'Functions and Analysis'.

**Category:** Functions and Analysis

[11] **viXra:1902.0499 [pdf]**
*submitted on 2019-02-28 09:47:12*

**Authors:** Stephen C. Pearson.

**Comments:** 42 Pages.

This particular submission contains a copy [PART 6/10] of the author's original paper and is therefore a continuation of his previous submission, namely - "A Supplementary Discourse on the Classification and Calculus of Quaternion Hypercomplex Functions - PART 5/10", which has been published under the 'VIXRA' Mathematics subheading:- 'Functions and Analysis'.

**Category:** Functions and Analysis

[10] **viXra:1902.0496 [pdf]**
*submitted on 2019-02-28 11:53:12*

**Authors:** Stephen C. Pearson.

**Comments:** 42 Pages.

This particular submission contains a copy [PART 7/10] of the author's original paper and is therefore a continuation of his previous submission, namely - "A Supplementary Discourse on the Classification and Calculus of Quaternion Hypercomplex Functions - PART 6/10", which has been published under the 'VIXRA' Mathematics subheading:- 'Functions and Analysis'.

**Category:** Functions and Analysis

[9] **viXra:1902.0493 [pdf]**
*submitted on 2019-02-28 12:30:18*

**Authors:** Stephen C. Pearson.

**Comments:** 42 Pages.

This particular submission contains a copy [PART 8/10] of the author's original paper and is therefore a continuation of his previous submission, namely - "A Supplementary Discourse on the Classification and Calculus of Quaternion Hypercomplex Functions - PART 7/10", which has been published under the 'VIXRA' Mathematics subheading:- 'Functions and Analysis'.

**Category:** Functions and Analysis

[8] **viXra:1902.0492 [pdf]**
*submitted on 2019-02-28 15:18:28*

**Authors:** Stephen C. Pearson.

**Comments:** 42 Pages.

This particular submission contains a copy [PART 9/10] of the author's original paper and is therefore a continuation of his previous submission, namely - "A Supplementary Discourse on the Classification and Calculus of Quaternion Hypercomplex Functions - PART 8/10", which has been published under the 'VIXRA' Mathematics subheading:- 'Functions and Analysis'.

**Category:** Functions and Analysis

[7] **viXra:1902.0491 [pdf]**
*submitted on 2019-02-28 15:55:02*

**Authors:** Stephen C. Pearson.

**Comments:** 31 Pages.

This particular submission contains a copy [PART 10/10] of the author's original paper and is therefore a continuation of his previous submission, namely - "A Supplementary Discourse on the Classification and Calculus of Quaternion Hypercomplex Functions - PART 9/10", which has been published under the 'VIXRA' Mathematics subheading:- 'Functions and Analysis'.

**Category:** Functions and Analysis

[6] **viXra:1902.0488 [pdf]**
*submitted on 2019-02-27 06:41:13*

**Authors:** Stephen C. Pearson.

**Comments:** 42 Pages.

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.

**Category:** Functions and Analysis

[5] **viXra:1902.0483 [pdf]**
*submitted on 2019-02-27 10:33:16*

**Authors:** Stephen C. Pearson.

**Comments:** 8 Pages.

This particular submission is an addendum to the author's previous submission, namely - "A Supplementary Discourse on the Classification and Calculus of Quaternion Hypercomplex Functions - PART 1/10", which has been published under the 'VIXRA' Mathematics subheading:- 'Functions and Analysis'.

**Category:** Functions and Analysis

[4] **viXra:1902.0478 [pdf]**
*submitted on 2019-02-27 12:41:38*

**Authors:** Stephen C. Pearson.

**Comments:** 42 Pages.

This particular submission contains a copy [PART 2/10] of the author's original paper and is therefore a continuation of his previous submission, namely - "A Supplementary Discourse on the Classification and Calculus of Quaternion Hypercomplex Functions - PART 1/10", which has been published under the 'VIXRA' Mathematics subheading:-'Functions and Analysis'.

**Category:** Functions and Analysis

[3] **viXra:1902.0472 [pdf]**
*submitted on 2019-02-27 14:44:08*

**Authors:** Stephen C. Pearson.

**Comments:** 42 Pages.

This particular submission contains a copy [PART 3/10] of the author's original paper and is therefore a continuation of his previous submission, namely - "A Supplementary Discourse on the Classification and Calculus of Quaternion Hypercomplex Functions - PART 2/10", which has been published under the 'VIXRA' Mathematics subheading:-'Functions and Analysis'.

**Category:** Functions and Analysis

[2] **viXra:1902.0466 [pdf]**
*submitted on 2019-02-28 05:25:15*

**Authors:** Stephen C. Pearson.

**Comments:** 42 Pages.

This particular submission contains a copy [PART 4/10] of the author's original paper and is therefore a continuation of his previous submission, namely - "A Supplementary Discourse on the Classification and Calculus of Quaternion Hypercomplex Functions - PART 3/10", which has been published under the 'VIXRA' Mathematics subheading:- 'Functions and Analysis'.

**Category:** Functions and Analysis

[1] **viXra:1902.0223 [pdf]**
*submitted on 2019-02-12 18:39:18*

**Authors:** Wolfgang W. D\"aumler, Hiroshi Okumura, Vyacheslav V. Puha, Saburou Saitoh

**Comments:** 16 Pages. We will introduce a beautiful horn torus model by Puha and D\"aumler for the Riemann sphere in complex analysis attaching the zero point and the point at infinity. Surprisingly enough, we can introduce analytical structure of conformality to the model.

In this paper, we will introduce a beautiful horn torus model by Puha and D\"aumler for the Riemann sphere in complex analysis attaching the zero point and the point at infinity. Surprisingly enough, we can introduce analytical structure of conformality to the model.

**Category:** Functions and Analysis