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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a1=1/2, a2>=1/2 > For fixed z and a1=1/2, a2=1/2, a3>=1/2 > For fixed z and a1=1/2, a2=1/2, a3=7/2 > For fixed z and a1=1/2, a2=1/2, a3=7/2, b1=3





http://functions.wolfram.com/07.27.03.amry.01









  


  








Input Form





HypergeometricPFQ[{1/2, 1/2, 7/2}, {3, 3}, z] == (512 (-19 + 46 z) EllipticE[1/2 - Sqrt[1 - z]/2]^2)/(405 Pi^2 z^2) - (512 Sqrt[1 - z] (-13 + 24 z) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/(405 Pi^2 z^2) - (512 (-19 + 46 z) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/(405 Pi^2 z^2) + (256 Sqrt[1 - z] (-13 + 24 z) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/ (405 Pi^2 z^2) + (256 (-13 + 29 z) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/ (405 Pi^2 z^2)








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)





2007-05-02