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





http://functions.wolfram.com/07.27.03.au9p.01









  


  










Input Form





HypergeometricPFQ[{5/2, 3, 3}, {-(5/2), -(5/2)}, z] == (1/(320 (-1 + z)^13)) (-320 + 3008 z - 24320 z^2 - 1962368 z^3 - 369569216 z^4 - 5409849664 z^5 - 19620987584 z^6 - 23004247200 z^7 - 9077035506 z^8 - 1055752467 z^9 - 22452738 z^10) - (693 (8448 z^(7/2) + 361856 z^(9/2) + 2805696 z^(11/2) + 6591200 z^(13/2) + 5439390 z^(15/2) + 1561329 z^(17/2) + 131208 z^(19/2) + 1848 z^(21/2)) ArcSin[Sqrt[z]])/(64 Sqrt[1 - z] (-1 + 13 z - 78 z^2 + 286 z^3 - 715 z^4 + 1287 z^5 - 1716 z^6 + 1716 z^7 - 1287 z^8 + 715 z^9 - 286 z^10 + 78 z^11 - 13 z^12 + z^13))










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