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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=-7/2, a2>=-7/2 > For fixed z and a1=-7/2, a2=-1/2, a3>=-1/2 > For fixed z and a1=-7/2, a2=-1/2, a3=4 > For fixed z and a1=-7/2, a2=-1/2, a3=4, b1=1/2





http://functions.wolfram.com/07.27.03.5620.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(1/2), 4}, {1/2, 1/2}, z] == (3072 + 47901 z - 62755 z^2 + 30030 z^3)/3072 + (35 (-223 Sqrt[z] + 630 z^(3/2) - 693 z^(5/2) + 286 z^(7/2)) Log[1 - Sqrt[z]])/2048 - (35 (-223 Sqrt[z] + 630 z^(3/2) - 693 z^(5/2) + 286 z^(7/2)) Log[1 + Sqrt[z]])/2048 - (1225/512) Sqrt[z] PolyLog[2, -Sqrt[z]] + (1225/512) Sqrt[z] PolyLog[2, Sqrt[z]]










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