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





http://functions.wolfram.com/07.27.03.aqt1.01









  


  








Input Form





HypergeometricPFQ[{1, 3, 3}, {-(7/2), 4}, z] == (-19305 + 109395 z - 254357 z^2 + 307695 z^3 - 199899 z^4 + 61601 z^5 - 2295 z^6 + 135 z^7)/(40 (-1 + z)^6 z^2) + (3 (45045 - 285285 z + 759759 z^2 - 1093521 z^3 + 904189 z^4 - 414791 z^5 + 88069 z^6) ArcSin[Sqrt[z]])/(140 Sqrt[1 - z] (-1 + z)^6 z^(5/2)) - (3861 ArcSin[Sqrt[z]]^2)/(8 z^3)








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