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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=2, a2>=2 > For fixed z and a1=2, a2=4, a3>=4 > For fixed z and a1=2, a2=4, a3=4 > For fixed z and a1=2, a2=4, a3=4, b1=-5/2





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









  


  










Input Form





HypergeometricPFQ[{2, 4, 4}, {-(5/2), 2}, -z] == (3840 + 62976 z + 623360 z^2 + 8529920 z^3 - 38974575 z^4 + 23737640 z^5 - 2069764 z^6)/(3840 (1 + z)^10) + (3003 (-429 z^(7/2) + 858 z^(9/2) - 312 z^(11/2) + 16 z^(13/2)) ArcSinh[Sqrt[z]])/(256 (1 + z)^(21/2))










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