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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=5/2 > For fixed z and a1=-7/2, a2=-7/2, a3=5/2, b1=1





http://functions.wolfram.com/07.27.03.1876.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 5/2}, {1, 4}, z] == (1/(2029052025 Pi^2 z^3)) (128 (-78400 + 404250 z + 3178875 z^2 + 1000855568 z^3 + 4187361891 z^4 + 2684933448 z^5 + 240192800 z^6) EllipticE[1/2 - Sqrt[1 - z]/2]^2) + (1/(2029052025 Pi^2 z^3)) (128 (78400 - 404250 z - 3178875 z^2 - 1000855568 z^3 - 4187361891 z^4 - 2684933448 z^5 - 240192800 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 - 384650 z - 3265850 z^2 - 523736758 z^3 - 1739016703 z^4 - 886977880 z^5 - 57657600 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 + 384650 z + 3265850 z^2 + 523736758 z^3 + 1739016703 z^4 + 886977880 z^5 + 57657600 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(2029052025 Pi^2 z^3)) (64 (-78400 + 423850 z + 3080875 z^2 + 648887658 z^3 + 2551399439 z^4 + 1567663169 z^5 + 134510800 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2)










Standard Form





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MathML Form







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





2007-05-02