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variants of this functions
JacobiP




Mathematica Notation

Traditional Notation









Hypergeometric Functions > JacobiP[nu,a,b,z] > Generating functions





http://functions.wolfram.com/07.15.11.0001.01









  


  








Input Form





JacobiP[n, a, b, z] == SeriesTerm[1/((Sqrt[t^2 - 2 t z + 1] + 1 - t)^a (Sqrt[t^2 - 2 t z + 1] + 1 + t)^b (2^(-a - b) Sqrt[t^2 - 2 t z + 1])), {t, 0, n}] /; Element[n, Integers] && n >= 0 && -1 < z < 1








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