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variants of this functions
JacobiP




Mathematica Notation

Traditional Notation









Hypergeometric Functions > JacobiP[nu,a,b,z] > Summation > Infinite summation





http://functions.wolfram.com/07.15.23.0003.01









  


  








Input Form





Sum[((Pochhammer[a + b + 1, n] JacobiP[n, a, b, z])/Pochhammer[a + 1, n]) w^n, {n, 0, Infinity}] == (1 - w)^(-a - b - 1) Hypergeometric2F1[(a + b + 1)/2, (a + b)/2 + 1, a + 1, (2 (z - 1) w)/(1 - w)^2] /; -1 < z < 1 && Abs[w] < 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