​
In[]:=
1
56
3
π
-
2
π
QPolyGamma0,
1
2
,-+
2
π
QPolyGamma0,
3
2
,-+
2
π
QPolyGamma0,1-
2Log
-0.707
…
+0.707
…


π
,--
2
π
QPolyGamma0,2-
2Log
-0.707
…
+0.707
…


π
,-
Out[]=
1
56
3
π
-
2
π
QPolyGamma0,
1
2
,-+
2
π
QPolyGamma0,
3
2
,-+
2
π
QPolyGamma0,1-
2Log
-0.707
…
+0.707
…


π
,--
2
π
QPolyGamma0,2-
2Log
-0.707
…
+0.707
…


π
,-
In[]:=
N
1
56
3
π
-
2
π
QPolyGamma0,
1
2
,-+
2
π
QPolyGamma0,
3
2
,-+
2
π
QPolyGamma0,1-
2Log
-0.707
…
+0.707
…


π
,--
2
π
QPolyGamma0,2-
2Log
-0.707
…
+0.707
…


π
,-
Out[]=
0.00057592(-9.8696QPolyGamma[0,0.5,0.-1.]+9.8696QPolyGamma[0,1.5,0.-1.]+9.8696QPolyGamma[0,2.5+0.,0.-1.]-9.8696QPolyGamma[0,3.5+0.,0.-1.])
In[]:=
QPolyGamma[0,0.5`,0.`-1.`]
Out[]=
QPolyGamma[0,0.5,0.-1.]
In[]:=
N[QPolyGamma[0,0.5`,0.`-1.`],20]
Out[]=
QPolyGamma[0,0.5,0.-1.]
In[]:=
QPolyGamma[0,0.5,-]
Out[]=
QPolyGamma[0,0.5,-]
In[]:=
N[QPolyGamma[0,0.5,-]]
Out[]=
QPolyGamma[0,0.5,0.-1.]