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variants of this functions
HarmonicNumber




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > HarmonicNumber[z] > Specific values > Values at fixed points





http://functions.wolfram.com/06.16.03.0018.01









  


  








Input Form





HarmonicNumber[-1] == ComplexInfinity








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["HarmonicNumber", "[", RowBox[List["-", "1"]], "]"]], "\[Equal]", InterpretationBox["ComplexInfinity", DirectedInfinity[]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <msub> <semantics> <mi> H </mi> <annotation-xml encoding='MathML-Content'> <ci> HarmonicNumber </ci> </annotation-xml> </semantics> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> <mo> &#10869; </mo> <mover> <mi> &#8734; </mi> <mo> ~ </mo> </mover> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> HarmonicNumber </ci> <cn type='integer'> -1 </cn> </apply> <apply> <ci> OverTilde </ci> <infinity /> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HarmonicNumber", "[", RowBox[List["-", "1"]], "]"]], "]"]], "\[RuleDelayed]", "ComplexInfinity"]]]]


Date Added to functions.wolfram.com (modification date)





2001-10-29