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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/07.27.03.1415.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 1/2}, {3, 4}, z] == (1/(200876150475 Pi^2 z^3)) (1024 (-194040 - 83845720 z - 1552555865 z^2 + 4471897674 z^3 + 1973040859 z^4 + 311853116 z^5 + 9930516 z^6) EllipticE[1/2 - Sqrt[1 - z]/2]^2) - (1/(200876150475 Pi^2 z^3)) (1024 Sqrt[1 - z] (-194040 - 63398755 z - 1098313335 z^2 + 1663378254 z^3 + 663639820 z^4 + 88778541 z^5 + 2162160 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) - (1/(200876150475 Pi^2 z^3)) (1024 (-194040 - 83845720 z - 1552555865 z^2 + 4471897674 z^3 + 1973040859 z^4 + 311853116 z^5 + 9930516 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 - 63398755 z - 1098313335 z^2 + 1663378254 z^3 + 663639820 z^4 + 88778541 z^5 + 2162160 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(200876150475 Pi^2 z^3)) (512 (-194040 - 63301735 z - 1071719635 z^2 + 3669504369 z^3 + 1155999643 z^4 + 178279495 z^5 + 5505798 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