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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=7/2, a3>=7/2 > For fixed z and a1=3, a2=7/2, a3=4 > For fixed z and a1=3, a2=7/2, a3=4, b1=-3/2





http://functions.wolfram.com/07.27.03.av1a.01









  


  










Input Form





HypergeometricPFQ[{3, 7/2, 4}, {-(3/2), 1/2}, z] == (1/(128 (-1 + z)^11)) (-128 + 8576 z - 515968 z^2 - 11448800 z^3 - 40384080 z^4 - 38627666 z^5 - 10310573 z^6 - 567266 z^7 - 840 z^8) - (3465 (672 z^(5/2) + 6000 z^(7/2) + 12830 z^(9/2) + 8295 z^(11/2) + 1540 z^(13/2) + 56 z^(15/2)) ArcSin[Sqrt[z]])/ (128 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