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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=1/2 > For fixed z and a1=-7/2, a2=-7/2, a3=1/2, b1=3





http://functions.wolfram.com/07.27.03.1414.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 1/2}, {3, 3}, z] == (1/(3565848825 Pi^2 z^2)) (512 (-1113245 - 39434710 z + 175384056 z^2 + 101146319 z^3 + 19772815 z^4 + 751092 z^5) EllipticE[1/2 - Sqrt[1 - z]/2]^2) - (1/(3565848825 Pi^2 z^2)) (512 Sqrt[1 - z] (-870695 - 28586040 z + 67711176 z^2 + 35063318 z^3 + 5765097 z^4 + 166320 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (1/(3565848825 Pi^2 z^2)) (512 (-1113245 - 39434710 z + 175384056 z^2 + 101146319 z^3 + 19772815 z^4 + 751092 z^5) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(3565848825 Pi^2 z^2)) (256 Sqrt[1 - z] (-870695 - 28586040 z + 67711176 z^2 + 35063318 z^3 + 5765097 z^4 + 166320 z^5) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(3565848825 Pi^2 z^2)) (256 (-870695 - 28211330 z + 135026151 z^2 + 59556440 z^3 + 11339459 z^4 + 417126 z^5) 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