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variants of this functions
GegenbauerC




Mathematica Notation

Traditional Notation









Polynomials > GegenbauerC[n,lambda,z] > Series representations > Generalized power series > Expansions at lambda==infinity





http://functions.wolfram.com/05.09.06.0051.01









  


  








Input Form





GegenbauerC[n, \[Lambda], z] == \[Lambda]^n (Sum[((((-1)^k Pochhammer[j - n, -j + k])/(j! (k - j)! (n - 2 j)!)) (2 z)^(n - 2 j) NorlundB[-j + k, 1 - j + n, -j + n])/\[Lambda]^k, {k, 0, Floor[n/2]}, {j, 0, k}] + Sum[((((-1)^k Pochhammer[j - n, -j + k])/(j! (k - j)! (n - 2 j)!)) (2 z)^(n - 2 j) NorlundB[-j + k, 1 - j + n, -j + n])/\[Lambda]^k, {k, 1 + Floor[n/2], n}, {j, 0, Floor[n/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)





2007-05-02