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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=-5/2, a2>=-5/2 > For fixed z and a1=-5/2, a2=-5/2, a3>=-5/2 > For fixed z and a1=-5/2, a2=-5/2, a3=1/2 > For fixed z and a1=-5/2, a2=-5/2, a3=1/2, b1=4





http://functions.wolfram.com/07.27.03.a7yi.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), -(5/2), 1/2}, {4, 4}, z] == (1/(2773437975 Pi^2 z^3)) (2048 (-125842 - 3582604 z - 22957537 z^2 + 22957537 z^3 + 3582604 z^4 + 125842 z^5) EllipticE[1/2 - Sqrt[1 - z]/2]^ 2) - (1/(2773437975 Pi^2 z^3)) (2048 Sqrt[1 - z] (-98122 - 2552042 z - 15381840 z^2 + 7575697 z^3 + 1030562 z^4 + 27720 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (1/(2773437975 Pi^2 z^3)) (2048 (-125842 - 3582604 z - 22957537 z^2 + 22957537 z^3 + 3582604 z^4 + 125842 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(2773437975 Pi^2 z^3)) (1024 Sqrt[1 - z] (-98122 - 2552042 z - 15381840 z^2 + 7575697 z^3 + 1030562 z^4 + 27720 z^5) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(2773437975 Pi^2 z^3)) (1024 (-98122 - 2509911 z - 14361476 z^2 + 24246757 z^3 + 2050926 z^4 + 69851 z^5) EllipticK[1/2 - Sqrt[1 - z]/2]^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