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





http://functions.wolfram.com/07.27.03.1031.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(7/2)}, {1, 4}, z] == (1/(870463318725 Pi^2 z^3)) (256 (-39200 + 2686425 z - 223550250 z^2 + 282364007392 z^3 - 1568086481859 z^4 + 649756821156 z^5 - 16085714468 z^6) EllipticE[1/2 - Sqrt[1 - z]/2]^2) + (1/(870463318725 Pi^2 z^3)) (128 Sqrt[1 - z] (78400 - 5353250 z + 445771375 z^2 - 340913301949 z^3 + 1604849032337 z^4 - 559604332699 z^5 + 10769223465 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(870463318725 Pi^2 z^3)) (256 (39200 - 2686425 z + 223550250 z^2 - 282364007392 z^3 + 1568086481859 z^4 - 649756821156 z^5 + 16085714468 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(870463318725 Pi^2 z^3)) (64 Sqrt[1 - z] (-78400 + 5353250 z - 445771375 z^2 + 340913301949 z^3 - 1604849032337 z^4 + 559604332699 z^5 - 10769223465 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(870463318725 Pi^2 z^3)) (64 (-78400 + 5392450 z - 448440650 z^2 + 395539647324 z^3 - 2309281112134 z^4 + 1503747034784 z^5 - 180594919328 z^6 + 2029052025 z^7) 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