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variants of this functions
HarmonicNumber




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > HarmonicNumber[z,r] > General characteristics > Symmetries and periodicities > Mirror symmetry





http://functions.wolfram.com/06.17.04.0002.01









  


  








Input Form





HarmonicNumber[Conjugate[z], Conjugate[r]] == Conjugate[HarmonicNumber[z, r]]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["HarmonicNumber", "[", RowBox[List[RowBox[List["Conjugate", "[", "z", "]"]], ",", RowBox[List["Conjugate", "[", "r", "]"]]]], "]"]], "\[Equal]", RowBox[List["Conjugate", "[", RowBox[List["HarmonicNumber", "[", RowBox[List["z", ",", "r"]], "]"]], "]"]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <msubsup> <semantics> <mi> H </mi> <annotation-xml encoding='MathML-Content'> <ci> HarmonicNumber </ci> </annotation-xml> </semantics> <mover> <mi> z </mi> <mo> _ </mo> </mover> <mrow> <mo> ( </mo> <mover> <mi> r </mi> <mo> _ </mo> </mover> <mo> ) </mo> </mrow> </msubsup> <mo> &#10869; </mo> <mover> <msubsup> <semantics> <mi> H </mi> <annotation-xml encoding='MathML-Content'> <ci> HarmonicNumber </ci> </annotation-xml> </semantics> <mi> z </mi> <mrow> <mo> ( </mo> <mi> r </mi> <mo> ) </mo> </mrow> </msubsup> <mo> _ </mo> </mover> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> HarmonicNumber </ci> <apply> <ci> OverBar </ci> <ci> z </ci> </apply> <apply> <ci> OverBar </ci> <ci> r </ci> </apply> </apply> <apply> <ci> OverBar </ci> <apply> <ci> HarmonicNumber </ci> <ci> z </ci> <ci> r </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HarmonicNumber", "[", RowBox[List[RowBox[List["Conjugate", "[", "z_", "]"]], ",", RowBox[List["Conjugate", "[", "r_", "]"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["Conjugate", "[", RowBox[List["HarmonicNumber", "[", RowBox[List["z", ",", "r"]], "]"]], "]"]]]]]]


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





2001-10-29