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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=4, a3>=4 > For fixed z and a1=5/2, a2=4, a3=4 > For fixed z and a1=5/2, a2=4, a3=4, b1=-7/2





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









  


  










Input Form





HypergeometricPFQ[{5/2, 4, 4}, {-(7/2), 7/2}, -z] == (1/(5376 z^2 (1 + z)^10)) (-15360 - 151040 z - 661376 z^2 - 1667520 z^3 - 2478120 z^4 - 880260 z^5 + 17281155 z^6 - 46534696 z^7 + 9387860 z^8) - (5 (-1024 - 10752 z - 51072 z^2 - 144704 z^3 - 271320 z^4 - 352716 z^5 - 323323 z^6 + 2092662 z^7 - 2378376 z^8 + 240240 z^9) ArcSinh[Sqrt[z]])/ (1792 Sqrt[1 + z] (z^(5/2) + 10 z^(7/2) + 45 z^(9/2) + 120 z^(11/2) + 210 z^(13/2) + 252 z^(15/2) + 210 z^(17/2) + 120 z^(19/2) + 45 z^(21/2) + 10 z^(23/2) + z^(25/2)))










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