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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=3, a2>=3 > For fixed z and a1=3, a2=4, a3>=4 > For fixed z and a1=3, a2=4, a3=4 > For fixed z and a1=3, a2=4, a3=4, b1=1/2





http://functions.wolfram.com/07.27.03.av47.01









  


  










Input Form





HypergeometricPFQ[{3, 4, 4}, {1/2, 1}, -z] == (2048 - 159801 z + 1164556 z^2 - 1803316 z^3 + 658656 z^4 - 40448 z^5)/ (2048 (1 + z)^9) + (1/(2048 (1 + z)^(19/2))) (105 (-175 Sqrt[z] + 3850 z^(3/2) - 14728 z^(5/2) + 14192 z^(7/2) - 3392 z^(9/2) + 128 z^(11/2)) ArcSinh[Sqrt[z]])










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