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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=4, a3>=4 > For fixed z and a1=7/2, a2=4, a3=4 > For fixed z and a1=7/2, a2=4, a3=4, b1=-7/2





http://functions.wolfram.com/07.27.03.avb6.01









  


  










Input Form





HypergeometricPFQ[{7/2, 4, 4}, {-(7/2), 3/2}, -z] == (1/(5376 (1 + z)^13)) (5376 + 127232 z + 1680896 z^2 + 19207680 z^3 + 374449920 z^4 - 3246691656 z^5 + 5285356788 z^6 - 2491295399 z^7 + 324723964 z^8 - 7506588 z^9) + (2145 z^(9/2) (-24024 + 96460 z - 102285 z^2 + 34038 z^3 - 3160 z^4 + 48 z^5) ArcSinh[Sqrt[z]])/(256 Sqrt[1 + z] (1 + 13 z + 78 z^2 + 286 z^3 + 715 z^4 + 1287 z^5 + 1716 z^6 + 1716 z^7 + 1287 z^8 + 715 z^9 + 286 z^10 + 78 z^11 + 13 z^12 + z^13))










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