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





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









  


  










Input Form





HypergeometricPFQ[{4, 4, 4}, {-(3/2), 1}, z] == (1/(12288 (-1 + z)^12)) (12288 - 671744 z + 39870464 z^2 + 957445767 z^3 + 3931464900 z^4 + 4756326792 z^5 + 1830185064 z^6 + 194449856 z^7 + 3292288 z^8) + (1155 (53361 z^(5/2) + 529254 z^(7/2) + 1343100 z^(9/2) + 1121200 z^(11/2) + 309600 z^(13/2) + 23424 z^(15/2) + 256 z^(17/2)) ArcSin[Sqrt[z]])/(4096 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