Talk:Gamma function: Difference between revisions

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imported>Aleksander Stos
imported>Aleksander Stos
(→‎On definition: extended)
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== On definition ==
== On definition ==


I reworked slightly the definition, as it was not clear to me when ''z'' is taken to be real and when complex. Also, perhaps it is better to avoid uniform convergence at this point (isn't it more delicate?), just give continuity for granted as it is done when we say that the function is analytic --[[User:Aleksander Stos|AlekStos]] 09:00, 11 April 2007 (CDT)
I reworked slightly the definition, as it was not clear to me when ''z'' is taken to be real and when complex. Also, perhaps it is better to avoid uniform convergence at this point (isn't it more delicate?), just give continuity for granted as it is done when we say that the function is analytic. I did not understood either _why_we use for Re(z)<0 the functional equation that was "justified"  for Re(z)>0. In fact, I guess that we make a formal definition which coincides with the formerly introduced analytic continuation.--[[User:Aleksander Stos|AlekStos]] 09:00, 11 April 2007 (CDT)

Revision as of 09:23, 11 April 2007


Article Checklist for "Gamma function"
Workgroup category or categories Mathematics Workgroup [Categories OK]
Article status Developed article: complete or nearly so
Underlinked article? Yes
Basic cleanup done? Yes
Checklist last edited by --AlekStos 03:50, 11 April 2007 (CDT)

To learn how to fill out this checklist, please see CZ:The Article Checklist.





On definition

I reworked slightly the definition, as it was not clear to me when z is taken to be real and when complex. Also, perhaps it is better to avoid uniform convergence at this point (isn't it more delicate?), just give continuity for granted as it is done when we say that the function is analytic. I did not understood either _why_we use for Re(z)<0 the functional equation that was "justified" for Re(z)>0. In fact, I guess that we make a formal definition which coincides with the formerly introduced analytic continuation.--AlekStos 09:00, 11 April 2007 (CDT)