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variants of this functions
HarmonicNumber






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > HarmonicNumber[z,r] > General characteristics > Branch cuts > With respect to r





http://functions.wolfram.com/06.17.04.0005.01









  


  










Input Form





BranchCuts[HarmonicNumber[z, r], r] == {}










Standard Form





Cell[BoxData[RowBox[List[RowBox[List["BranchCuts", "[", RowBox[List[RowBox[List["HarmonicNumber", "[", RowBox[List["z", ",", "r"]], "]"]], ",", "r"]], "]"]], "\[Equal]", RowBox[List["{", "}"]]]]]]










MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msub> <mi> &#8492;&#119966; </mi> <mi> r </mi> </msub> <mo> ( </mo> <mstyle scriptlevel='0'> <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> </mstyle> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mo> { </mo> <mo> } </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <apply> <ci> Subscript </ci> <ci> &#8492;&#119966; </ci> <ci> r </ci> </apply> <apply> <ci> HarmonicNumber </ci> <ci> z </ci> <ci> r </ci> </apply> </apply> <list /> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BranchCuts", "[", RowBox[List[RowBox[List["HarmonicNumber", "[", RowBox[List["z_", ",", "r_"]], "]"]], ",", "r_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["{", "}"]]]]]]










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





2001-10-29





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