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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=1/2, a3>=1/2 > For fixed z and a1=-5/2, a2=1/2, a3=3 > For fixed z and a1=-5/2, a2=1/2, a3=3, b1=5/2





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









  


  










Input Form





HypergeometricPFQ[{-(5/2), 1/2, 3}, {5/2, 7/2}, z] == (-270 + 3585 z + 11939 z^2 - 4935 z^3 + 945 z^4)/(32768 z^2) + (15 (-18 + 125 z - 720 z^2 + 900 z^3 - 350 z^4 + 63 z^5) Log[1 - Sqrt[z]])/ (65536 z^(5/2)) - (15 (-18 + 125 z - 720 z^2 + 900 z^3 - 350 z^4 + 63 z^5) Log[1 + Sqrt[z]])/(65536 z^(5/2)) - (225 (-1 + 6 z) PolyLog[2, -Sqrt[z]])/ (8192 z^(3/2)) + (225 (-1 + 6 z) PolyLog[2, Sqrt[z]])/(8192 z^(3/2))










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