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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=4





http://functions.wolfram.com/07.27.03.2165.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 7/2}, {4, 4}, z] == (1/(870463318725 Pi^2 z^3)) (2048 (7971838 - 86240966 z + 1024366882 z^2 + 19093622099 z^3 + 31236477278 z^4 + 10785882920 z^5 + 603530880 z^6) EllipticE[1/2 - Sqrt[1 - z]/2]^2) - (1/(870463318725 Pi^2 z^3)) (2048 Sqrt[1 - z] (5449318 - 58865149 z + 714370986 z^2 + 8814623873 z^3 + 11847950545 z^4 + 3328753440 z^5 + 138378240 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (1/(870463318725 Pi^2 z^3)) (2048 (7971838 - 86240966 z + 1024366882 z^2 + 19093622099 z^3 + 31236477278 z^4 + 10785882920 z^5 + 603530880 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(870463318725 Pi^2 z^3)) (1024 Sqrt[1 - z] (5449318 - 58865149 z + 714370986 z^2 + 8814623873 z^3 + 11847950545 z^4 + 3328753440 z^5 + 138378240 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(870463318725 Pi^2 z^3)) (1024 (5449318 - 60959178 z + 736887851 z^2 + 11935927163 z^3 + 18687024084 z^4 + 6234260440 z^5 + 336360000 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