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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=3





http://functions.wolfram.com/07.27.03.2160.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 7/2}, {3, 4}, z] == (1/(200876150475 Pi^2 z^3)) (1024 (194040 - 15373673 z + 339035648 z^2 + 9603133140 z^3 + 20713872689 z^4 + 8870458360 z^5 + 592886400 z^6) EllipticE[1/2 - Sqrt[1 - z]/2]^2) - (1/(200876150475 Pi^2 z^3)) (1024 Sqrt[1 - z] (194040 - 11226068 z + 244278426 z^2 + 4588400214 z^3 + 8098453325 z^4 + 2806730400 z^5 + 138378240 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (1/(200876150475 Pi^2 z^3)) (1024 (194040 - 15373673 z + 339035648 z^2 + 9603133140 z^3 + 20713872689 z^4 + 8870458360 z^5 + 592886400 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(200876150475 Pi^2 z^3)) (512 Sqrt[1 - z] (194040 - 11226068 z + 244278426 z^2 + 4588400214 z^3 + 8098453325 z^4 + 2806730400 z^5 + 138378240 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(200876150475 Pi^2 z^3)) (512 (194040 - 11323088 z + 248848495 z^2 + 6059481378 z^3 + 12465049682 z^4 + 5145709760 z^5 + 331037760 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