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variants of this functions
GegenbauerC




Mathematica Notation

Traditional Notation









Polynomials > GegenbauerC[n,lambda,z] > Identities > Recurrence identities > Consecutive neighbors > With respect to lambda





http://functions.wolfram.com/05.09.17.0007.01









  


  








Input Form





GegenbauerC[n, \[Lambda], z] == ((2 \[Lambda] (1 + 2 \[Lambda] - 2 (1 + \[Lambda] + n) (z^2 - 1)))/ ((2 \[Lambda] + n) (2 \[Lambda] + n + 1))) GegenbauerC[n, \[Lambda] + 1, z] + ((4 \[Lambda] (\[Lambda] + 1) (z^2 - 1))/ ((2 \[Lambda] + n) (2 \[Lambda] + n + 1))) GegenbauerC[n, \[Lambda] + 2, z]








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