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





http://functions.wolfram.com/07.27.03.1379.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 1/2}, {-(1/2), 5/2}, -z] == (3 Sqrt[1 + z] (-245 + 21345 z + 124102 z^2 - 222216 z^3 + 35632 z^4))/ (81920 z) - (21 (-7 - 175 z + 5600 z^3 - 4480 z^4 + 384 z^5) ArcSinh[Sqrt[z]])/(16384 z^(3/2))










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