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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=5/2, a3>=5/2 > For fixed z and a1=1, a2=5/2, a3=4 > For fixed z and a1=1, a2=5/2, a3=4, b1=-7/2





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









  


  










Input Form





HypergeometricPFQ[{1, 5/2, 4}, {-(7/2), -(3/2)}, z] == (1/(336 (-1 + z)^12)) (336 - 3392 z + 23456 z^2 - 461760 z^3 + 21045680 z^4 + 380423296 z^5 + 1066557888 z^6 + 752509296 z^7 + 121302720 z^8 + 1084545 z^9 - 6090 z^10 - 840 z^11) + (2145 (1920 z^(9/2) + 14080 z^(11/2) + 23760 z^(13/2) + 11088 z^(15/2) + 1155 z^(17/2)) ArcSin[Sqrt[z]])/(16 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