Talk:Quaternionic analysis

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Question

What is the "R" under the limit symbol in the definition of the Gateaux derivative? — Preceding unsigned comment added by 133.86.80.122 (talk) 02:10, 4 June 2012 (UTC)[reply]

The R means that t is restricted to the real line. As the text says, "h shows the direction" in which the derivative is taken; for emphasis the R was included by an editor to limit the range of t.Rgdboer (talk) 23:40, 4 June 2012 (UTC)[reply]

Renaming the article to "Quaternionic analysis"

Sometime soon, I hope to rename the article to "Quaternionic analysis". I had considered "quaternion analysis," however google scholar seems to indicate that the former is more highly used. This is an improvement from "quaternion variable" according to the WP naming guidlines for the following reasons:

Recognizability/Naturalness: "quaternion variable" is just a hacked-off version of "function of a quaternion variable," and is not likely to be the phrase people use to search. It does not turn up relevant hits like "quaternionic analysis" does.
Consistency: "complex variable" redirects to complex analysis, and "real variable" redirects to a stub which is basically a redirect to real analysis, so to follow this pattern it would be more sensical to use "quaternionic analysis"

Redirects for "quaternion variable" and "quaternion analysis" would definitely be part of the plan. Feedback welcome. Rschwieb (talk) 15:06, 4 January 2013 (UTC)[reply]

The current title can be used in phrases like "differentiation with respect to a quaternion variable", and "quaternion variable domain", as in domain (mathematical analysis). The title you propose is something of a conversation stopper. Reviewing the article mathematical analysis there is the section called Subdivisions. There functional analysis is put on a par with geometric analysis. But textbooks today frequently use Complex Variable in preference to Complex Analysis.

As for the adjective Quaternionic, note that we have quaternion group though references often use ionic for the designation of that group. The longer adjective sounds like ionic bond. The current title refers to variable which connotes the extent of quaternions. This comment may serve to explain why the title was "Quaternion variable", should a Move be made.Rgdboer (talk) 01:19, 7 January 2013 (UTC)[reply]