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variants of this functions
JacobiP




Mathematica Notation

Traditional Notation









Polynomials > JacobiP[n,a,b,z] > Complex characteristics > Conjugate value





http://functions.wolfram.com/05.06.19.0004.01









  


  








Input Form





Conjugate[JacobiP[n, a, b, x + I y]] == Sum[(((-1)^j Pochhammer[n + a + b + 1, 2 j])/(2^(2 j) (2 j)!)) JacobiP[n - 2 j, a + 2 j, b + 2 j, x] y^(2 j), {j, 0, Floor[n/2]}] - I Sum[(((-1)^j Pochhammer[n + a + b + 1, 2 j + 1])/ (2^(2 j + 1) (2 j + 1)!)) JacobiP[n - 2 j - 1, a + 2 j + 1, b + 2 j + 1, x] y^(2 j + 1), {j, 0, Floor[(n - 1)/2]}] /; Element[x, Reals] && Element[y, Reals] && Element[a, Reals] && Element[b, Reals]








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