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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=3, a2>=3 > For fixed z and a1=3, a2=3, a3>=3 > For fixed z and a1=3, a2=3, a3=7/2 > For fixed z and a1=3, a2=3, a3=7/2, b1=-5/2





http://functions.wolfram.com/07.27.03.aut5.01









  


  










Input Form





HypergeometricPFQ[{3, 3, 7/2}, {-(5/2), -(1/2)}, z] == (1/(320 (-1 + z)^12)) (320 + 4224 z - 462720 z^2 + 28761088 z^3 + 664285248 z^4 + 2537124480 z^5 + 2781423568 z^6 + 934972080 z^7 + 80481891 z^8 + 835226 z^9) + (693 (38016 z^(7/2) + 357632 z^(9/2) + 839600 z^(11/2) + 632240 z^(13/2) + 151445 z^(15/2) + 9128 z^(17/2) + 56 z^(19/2)) ArcSin[Sqrt[z]])/ (64 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