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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] > Specific values > Specialized values > For fixed a2, b2, z





http://functions.wolfram.com/07.28.03.0075.01









  


  










Input Form





HypergeometricPFQ[{-n, a, a + 1/2, 2 a + n}, {2 a, f, 2 a - f + 1}, z] == (((-1)^n n!^2)/(Pochhammer[f, n] Pochhammer[2 a - f + 1, n])) JacobiP[n, f - 1, 2 a - f, Sqrt[1 - z]] JacobiP[n, f - 1, 2 a - f, -Sqrt[1 - z]] /; Element[n, Integers] && n >= 0










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