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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=-7/2





http://functions.wolfram.com/07.27.03.au9b.01









  


  










Input Form





HypergeometricPFQ[{5/2, 3, 3}, {-(7/2), -(1/2)}, z] == (1/(448 (-1 + z)^12)) (448 + 384 z - 168576 z^2 + 3980288 z^3 - 120521664 z^4 - 1492742592 z^5 - 3202119976 z^6 - 1902948180 z^7 - 304376079 z^8 - 8529458 z^9) - (6435 (9152 z^(9/2) + 49400 z^(11/2) + 66860 z^(13/2) + 27461 z^(15/2) + 3080 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