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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 z and all parameters rational





http://functions.wolfram.com/07.28.03.0187.01









  


  








Input Form





HypergeometricPFQ[{3/8, 5/8, 7/8, 9/8}, {5/6, 7/6, 9/6}, z] == (1/(3 Sqrt[3])) (4 2^(1/4) (Sqrt[1/(z + Sqrt[z^2 - z^3])^(1/3) + (z + Sqrt[z^2 - z^3])^(1/3)/z] - Sqrt[-(1/(z + Sqrt[z^2 - z^3])^(1/3)) - (z + Sqrt[z^2 - z^3])^(1/3)/z + (2 Sqrt[2])/(z Sqrt[1/(z + Sqrt[z^2 - z^3])^(1/3) + (z + Sqrt[z^2 - z^3])^(1/3)/z])])^(3/2)) /; Re[z] >= 0








Standard Form





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MathML Form







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Rule Form





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Contributed by





Magnus Herberthson










Date Added to functions.wolfram.com (modification date)





2007-05-02