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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] > Specific values > Specialized values > Case 3F2





http://functions.wolfram.com/07.31.03.0128.01









  


  










Input Form





HypergeometricPFQ[{a, b, c}, {d, e}, 1] == (-1)^(d - e) Sqrt[Gamma[1 - a]] Sqrt[Gamma[1 - b]] Sqrt[Gamma[1 - c]] Gamma[d] Gamma[e] Sqrt[Gamma[d + e - a - b - c]] (ThreeJSymbol[{(d - a - b - 1)/2, (b + d - a - 1)/2}, {(e - a - c - 1)/2, (a + 1 - c - e)/2}, {(d + e - b - c)/2 - 1, -((b + d - c - e)/2)}]/(Sqrt[Gamma[-a + d]] Sqrt[Gamma[-b + d]] Sqrt[Gamma[-c + d]] Sqrt[Gamma[-a + e]] Sqrt[Gamma[-b + e]] Sqrt[Gamma[-c + e]])) /; Re[d + e - a - b - c] > 0










Standard Form





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MathML Form







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Rule Form





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2001-10-29





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