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variants of this functions
GegenbauerC






Mathematica Notation

Traditional Notation









Hypergeometric Functions > GegenbauerC[nu,z] > Representations through more general functions > Through hypergeometric functions > Involving 2F1





http://functions.wolfram.com/07.13.26.0003.01









  


  










Input Form





GegenbauerC[\[Nu], z] == (2^\[Nu]/\[Nu]) (z - 1)^\[Nu] Hypergeometric2F1[-\[Nu], 1/2 - \[Nu], 1 - 2 \[Nu], 2/(1 - z)] + ((1/(2^\[Nu] \[Nu])) Hypergeometric2F1[\[Nu], 1/2 + \[Nu], 1 + 2 \[Nu], 2/(1 - z)])/(z - 1)^\[Nu] /; !IntervalMemberQ[Interval[{0, 1}], z] && !Element[2 \[Nu], Integers]










Standard Form





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MathML Form







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Rule Form





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





2001-10-29





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