[Maxima-bugs] [maxima:bugs] #4753 some limits of gamma toward minf

[Barton W. <wil...@us...>]

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**[bugs:#4753] some limits of gamma toward minf**

**Status:** open
**Group:** None
**Labels:** limit 
**Created:** Wed Jun 03, 2026 10:32 AM UTC by Barton Willis
**Last Updated:** Wed Jun 03, 2026 10:32 AM UTC
**Owner:** nobody


Wrong:
~~~
(%i9)	xxx : %e^-x*gamma(-x)*(x+1)^(x+1/2)*sin(%pi*x);
(%o9) %e^-x*gamma(-x)*(x+1)^(x+1/2)*sin(%pi*x)

(%i10)	limit(xxx, x,inf);
(%o10) und
~~~

A correct value is
~~~
-%e * sqrt(%pi/2)
~~~

Negative integers are not in the natural domain of `xxx`, but `xxx` does analytically continue to the negative integers.


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