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variants of this functions
GegenbauerC






Mathematica Notation

Traditional Notation









Hypergeometric Functions > GegenbauerC[nu,lambda,z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving power function





http://functions.wolfram.com/07.14.21.0004.01









  


  










Input Form





Integrate[z^(\[Alpha] - 1) GegenbauerC[\[Nu], \[Lambda], z], z] == ((2^(1 - 2 \[Lambda]) Sqrt[Pi] Gamma[\[Nu] + 2 \[Lambda]] z^\[Alpha])/ (\[Alpha] Gamma[\[Nu] + 1] Gamma[\[Lambda]])) HypergeometricPFQRegularized[{{-\[Nu], 2 \[Lambda] + \[Nu]}, {\[Alpha]}, {}}, {{\[Lambda] + 1/2}, {\[Alpha] + 1}, {}}, -(z/2), 1/2]










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