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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=4





http://functions.wolfram.com/07.27.03.1206.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(3/2)}, {4, 4}, z] == (1/(870463318725 Pi^2 z^3)) (2048 (-594302 - 44957896 z - 1093970388 z^2 + 20780882846 z^3 - 11862605096 z^4 + 171566256 z^5 + 1374717 z^6) EllipticE[1/2 - Sqrt[1 - z]/2]^2) - (1/(870463318725 Pi^2 z^3)) (4096 Sqrt[1 - z] (-237091 - 16813752 z - 398658972 z^2 + 5477932615 z^3 - 2586599748 z^4 + 19878816 z^5 + 135135 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (1/(870463318725 Pi^2 z^3)) (2048 (-594302 - 44957896 z - 1093970388 z^2 + 20780882846 z^3 - 11862605096 z^4 + 171566256 z^5 + 1374717 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(870463318725 Pi^2 z^3)) (2048 Sqrt[1 - z] (-237091 - 16813752 z - 398658972 z^2 + 5477932615 z^3 - 2586599748 z^4 + 19878816 z^5 + 135135 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(870463318725 Pi^2 z^3)) (1024 (-474182 - 33420443 z - 783326664 z^2 + 14681220950 z^3 - 12511299988 z^4 + 1606967532 z^5 + 754926 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