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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=2





http://functions.wolfram.com/07.27.03.2148.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 7/2}, {2, 4}, z] == (1/(6087156075 Pi^2 z^3)) (256 (-11760 - 125685 z + 23419046 z^2 + 1315977742 z^3 + 4148444106 z^4 + 2334163480 z^5 + 193435520 z^6) EllipticE[1/2 - Sqrt[1 - z]/2]^2) + (1/(6087156075 Pi^2 z^3)) (256 (11760 + 125685 z - 23419046 z^2 - 1315977742 z^3 - 4148444106 z^4 - 2334163480 z^5 - 193435520 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(6087156075 Pi^2 z^3)) (256 Sqrt[1 - z] (11760 + 128625 z - 17749256 z^2 - 659095236 z^3 - 1686293475 z^4 - 761730400 z^5 - 46126080 z^6) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (1/(6087156075 Pi^2 z^3)) (128 Sqrt[1 - z] (-11760 - 128625 z + 17749256 z^2 + 659095236 z^3 + 1686293475 z^4 + 761730400 z^5 + 46126080 z^6) EllipticK[1/2 - Sqrt[1 - z]/2]^2) + (1/(6087156075 Pi^2 z^3)) (128 (-11760 - 122745 z + 17814671 z^2 + 841865978 z^3 + 2516337003 z^4 + 1360315960 z^5 + 108249280 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