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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=3





http://functions.wolfram.com/07.27.03.1204.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), -(3/2)}, {3, 4}, z] == (1/(66958716825 Pi^2 z^3)) (1024 (-3080 - 2596056 z - 119808564 z^2 + 3448982428 z^3 - 2604878112 z^4 + 47371056 z^5 + 451309 z^6) EllipticE[1/2 - Sqrt[1 - z]/2]^2) - (1/(66958716825 Pi^2 z^3)) (1024 Sqrt[1 - z] (-3080 - 2011241 z - 89165933 z^2 + 1854973631 z^3 - 1155999643 z^4 + 11204729 z^5 + 90090 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (1/(66958716825 Pi^2 z^3)) (1024 (-3080 - 2596056 z - 119808564 z^2 + 3448982428 z^3 - 2604878112 z^4 + 47371056 z^5 + 451309 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(66958716825 Pi^2 z^3)) (512 Sqrt[1 - z] (-3080 - 2011241 z - 89165933 z^2 + 1854973631 z^3 - 1155999643 z^4 + 11204729 z^5 + 90090 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(66958716825 Pi^2 z^3)) (512 (-3080 - 2009701 z - 88306420 z^2 + 2415050964 z^3 - 2549787308 z^4 + 375237796 z^5 + 248177 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