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http://functions.wolfram.com/06.15.03.0044.01
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PolyGamma[1, 3/4] == Pi^2 - 8 Catalan
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Cell[BoxData[RowBox[List[RowBox[List["PolyGamma", "[", RowBox[List["1", ",", FractionBox["3", "4"]]], "]"]], "\[Equal]", RowBox[List[SuperscriptBox["\[Pi]", "2"], "-", RowBox[List["8", " ", "Catalan"]]]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msup> <semantics> <mi> ψ </mi> <annotation encoding='Mathematica'> TagBox["\[Psi]", PolyGamma] </annotation> </semantics> <mrow> <mo> ( </mo> <mn> 1 </mn> <mo> ) </mo> </mrow> </msup> <mo> ( </mo> <mfrac> <mn> 3 </mn> <mn> 4 </mn> </mfrac> <mo> ) </mo> </mrow> <mo>  </mo> <mrow> <msup> <mi> π </mi> <mn> 2 </mn> </msup> <mo> - </mo> <mrow> <mn> 8 </mn> <mo> ⁢ </mo> <semantics> <mi> C </mi> <annotation encoding='Mathematica'> TagBox["C", Function[List[], Catalan]] </annotation> </semantics> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> PolyGamma </ci> <cn type='integer'> 1 </cn> <cn type='rational'> 3 <sep /> 4 </cn> </apply> <apply> <plus /> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 8 </cn> <ci> Catalan </ci> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["PolyGamma", "[", RowBox[List["1", ",", FractionBox["3", "4"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["\[Pi]", "2"], "-", RowBox[List["8", " ", "Catalan"]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
