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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=1/2, a2>=1/2 > For fixed z and a1=1/2, a2=2, a3>=2 > For fixed z and a1=1/2, a2=2, a3=4 > For fixed z and a1=1/2, a2=2, a3=4, b1=-7/2





http://functions.wolfram.com/07.27.03.aoa5.01









  


  








Input Form





HypergeometricPFQ[{1/2, 2, 4}, {-(7/2), -(1/2)}, -z] == (1/(224 (1 + z)^10)) (224 + 1728 z + 352 z^2 - 83200 z^3 - 1634880 z^4 + 8326216 z^5 - 4544823 z^6 + 130284 z^7 + 4620 z^8) + (6435 (88 z^(9/2) - 181 z^(11/2) + 54 z^(13/2)) ArcSinh[Sqrt[z]])/ (32 (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