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





http://functions.wolfram.com/07.27.03.att3.01









  


  










Input Form





HypergeometricPFQ[{2, 7/2, 4}, {-(7/2), -(5/2)}, z] == (1/(160 (-1 + z)^15)) (-160 + 1888 z - 13728 z^2 - 182176 z^3 + 65087200 z^4 + 4447722720 z^5 + 45670028768 z^6 + 142545131872 z^7 + 163088681184 z^8 + 70254773160 z^9 + 10273872180 z^10 + 358832529 z^11 + 354816 z^12 + 2772 z^13) + (9009 (11264 z^(9/2) + 278016 z^(11/2) + 1692288 z^(13/2) + 3615040 z^(15/2) + 3016728 z^(17/2) + 972972 z^(19/2) + 105963 z^(21/2) + 2574 z^(23/2)) ArcSin[Sqrt[z]])/ (32 Sqrt[1 - z] (-1 + 15 z - 105 z^2 + 455 z^3 - 1365 z^4 + 3003 z^5 - 5005 z^6 + 6435 z^7 - 6435 z^8 + 5005 z^9 - 3003 z^10 + 1365 z^11 - 455 z^12 + 105 z^13 - 15 z^14 + z^15))










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