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variants of this functions
GegenbauerC






Mathematica Notation

Traditional Notation









Hypergeometric Functions > GegenbauerC[nu,lambda,z] > Series representations > Generalized power series > Expansions at z==0 > For the function itself > Generic formulas for main term





http://functions.wolfram.com/07.14.06.0052.01









  


  










Input Form





GegenbauerC[\[Nu], \[Lambda], z] \[Proportional] Piecewise[{{0, Element[-\[Nu], Integers] && -\[Nu] > 0}, {ComplexInfinity, Element[-\[Nu] - 2 \[Lambda], Integers] && -\[Nu] - 2 \[Lambda] >= 0}, {((-1)^Floor[\[Nu]/2] Pochhammer[\[Lambda], \[Nu] - Floor[\[Nu]/2]] (2 z)^(\[Nu] - 2 Floor[\[Nu]/2]))/(Floor[\[Nu]/2]! (\[Nu] - 2 Floor[\[Nu]/2])!), Element[\[Nu], Integers] && \[Nu] >= 0}}, (Cos[(Pi \[Nu])/2] Gamma[\[Nu]/2 + \[Lambda]])/ (Gamma[\[Nu]/2 + 1] Gamma[\[Lambda]])] /; (z -> 0)










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)





2007-05-02





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