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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=1/2, a2>=1/2 > For fixed z and a1=1/2, a2=3, a3>=3 > For fixed z and a1=1/2, a2=3, a3=3 > For fixed z and a1=1/2, a2=3, a3=3, b1=-7/2





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









  


  










Input Form





HypergeometricPFQ[{1/2, 3, 3}, {-(7/2), -(3/2)}, z] == (1/(2240 (-1 + z)^11)) (-2240 + 22720 z - 120512 z^2 + 978752 z^3 - 28572160 z^4 - 387451600 z^5 - 765655440 z^6 - 324507513 z^7 - 22393182 z^8) - (1287 (2288 z^(9/2) + 12688 z^(11/2) + 14763 z^(13/2) + 4008 z^(15/2) + 168 z^(17/2)) ArcSin[Sqrt[z]])/ (64 Sqrt[1 - z] (-1 + 11 z - 55 z^2 + 165 z^3 - 330 z^4 + 462 z^5 - 462 z^6 + 330 z^7 - 165 z^8 + 55 z^9 - 11 z^10 + z^11))










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