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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3,a4,a5,a6},{b1,b2,b3,b4,b5},z] > Specific values > Values at z==-1 > For fixed a1





http://functions.wolfram.com/07.30.03.0006.01









  


  










Input Form





HypergeometricPFQ[{a, a + 1/3, a + 2/3, 3 a - 1/3, 3 a, 3 a + 1/3}, {1/3, 2/3, 2 a, 2 a + 1/3, 2 a + 2/3}, -1] == ((Sqrt[Pi] Gamma[6 a])/3) (2^(1 - 9 a)/(Gamma[(3 a + 1)/2] Gamma[(9 a)/2]) + ((4 Sqrt[Pi])/(3^(9 (a/2)) (Gamma[2/3] Gamma[3 a] Gamma[3 a + 1/3]))) Cos[((9 a - 1)/6) Pi])










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