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variants of this functions
GegenbauerC






Mathematica Notation

Traditional Notation









Hypergeometric Functions > GegenbauerC[nu,lambda,z] > Specific values > Specialized values > For fixed lambda, z





http://functions.wolfram.com/07.14.03.0020.01









  


  










Input Form





GegenbauerC[10, \[Lambda], z] == (4 \[Lambda] (\[Lambda] + 1) (\[Lambda] + 2) (\[Lambda] + 3) (\[Lambda] + 4) (\[Lambda] + 5) (\[Lambda] + 6) (\[Lambda] + 7) (\[Lambda] + 8) (\[Lambda] + 9) z^10)/14175 - (2/315) \[Lambda] (\[Lambda] + 1) (\[Lambda] + 2) (\[Lambda] + 3) (\[Lambda] + 4) (\[Lambda] + 5) (\[Lambda] + 6) (\[Lambda] + 7) (\[Lambda] + 8) z^8 + (2/45) \[Lambda] (\[Lambda] + 1) (\[Lambda] + 2) (\[Lambda] + 3) (\[Lambda] + 4) (\[Lambda] + 5) (\[Lambda] + 6) (\[Lambda] + 7) z^6 - (1/9) \[Lambda] (\[Lambda] + 1) (\[Lambda] + 2) (\[Lambda] + 3) (\[Lambda] + 4) (\[Lambda] + 5) (\[Lambda] + 6) z^4 + (1/12) \[Lambda] (\[Lambda] + 1) (\[Lambda] + 2) (\[Lambda] + 3) (\[Lambda] + 4) (\[Lambda] + 5) z^2 - (1/120) \[Lambda] (\[Lambda] + 1) (\[Lambda] + 2) (\[Lambda] + 3) (\[Lambda] + 4)










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