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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, a2>=1 > For fixed z and a1=1, a2=1, a3>=1 > For fixed z and a1=1, a2=1, a3=5/2 > For fixed z and a1=1, a2=1, a3=5/2, b1=-7/2





http://functions.wolfram.com/07.27.03.ape9.01









  


  








Input Form





HypergeometricPFQ[{1, 1, 5/2}, {-(7/2), -(5/2)}, -z] == (1/(105 (1 + z)^10)) (105 + 1020 z + 4481 z^2 + 10802 z^3 - 77814 z^4 + 2454480 z^5 - 7217910 z^6 + 4397148 z^7 - 400379 z^8 - 5432 z^9) + (1/(1 + z)^(21/2)) (3 (1536 z^(9/2) - 13440 z^(11/2) + 22400 z^(13/2) - 8400 z^(15/2) + 420 z^(17/2) + 7 z^(19/2)) 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