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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=5/2, a2>=5/2 > For fixed z and a1=5/2, a2=4, a3>=4 > For fixed z and a1=5/2, a2=4, a3=4 > For fixed z and a1=5/2, a2=4, a3=4, b1=-3/2





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









  


  










Input Form





HypergeometricPFQ[{5/2, 4, 4}, {-(3/2), -(1/2)}, -z] == (1/(768 (1 + z)^12)) (768 - 31744 z - 7608832 z^2 + 376319040 z^3 - 2621328400 z^4 + 5050904408 z^5 - 3086022159 z^6 + 551313168 z^7 - 18912180 z^8) + (1155 (14784 z^(5/2) - 261360 z^(7/2) + 1062600 z^(9/2) - 1372025 z^(11/2) + 592650 z^(13/2) - 75096 z^(15/2) + 1680 z^(17/2)) ArcSinh[Sqrt[z]])/(256 Sqrt[1 + z] (1 + 12 z + 66 z^2 + 220 z^3 + 495 z^4 + 792 z^5 + 924 z^6 + 792 z^7 + 495 z^8 + 220 z^9 + 66 z^10 + 12 z^11 + z^12))










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