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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=-7/2, a2>=-7/2 > For fixed z and a1=-7/2, a2=-7/2, a3>=-7/2 > For fixed z and a1=-7/2, a2=-7/2, a3=3/2 > For fixed z and a1=-7/2, a2=-7/2, a3=3/2, b1=1





http://functions.wolfram.com/07.27.03.1634.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 3/2}, {1, 4}, z] == (1/(2029052025 Pi^2 z^3)) (128 (78400 - 1232350 z + 9242625 z^2 + 856321598 z^3 + 2241942289 z^4 + 1048665759 z^5 + 73787568 z^6) EllipticE[1/2 - Sqrt[1 - z]/2]^2) + (1/(2029052025 Pi^2 z^3)) (128 (-78400 + 1232350 z - 9242625 z^2 - 856321598 z^3 - 2241942289 z^4 - 1048665759 z^5 - 73787568 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(2029052025 Pi^2 z^3)) (128 Sqrt[1 - z] (-78400 + 1212750 z - 8948625 z^2 - 422719688 z^3 - 889568061 z^4 - 334525728 z^5 - 17297280 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(2029052025 Pi^2 z^3)) (64 Sqrt[1 - z] (78400 - 1212750 z + 8948625 z^2 + 422719688 z^3 + 889568061 z^4 + 334525728 z^5 + 17297280 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(2029052025 Pi^2 z^3)) (64 (78400 - 1251950 z + 9547650 z^2 + 545170688 z^3 + 1353064007 z^4 + 609053958 z^5 + 41218104 z^6) 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