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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=4 > For fixed z and a1=-5/2, a2=-1/2, a3=4, b1=1/2





http://functions.wolfram.com/07.27.03.aa8g.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), -(1/2), 4}, {1/2, 5/2}, z] == -((3 (5 - 2529 z - 3815 z^2 + 1155 z^3))/(8192 z)) - (15 (1 + 40 z + 568 z^2 - 840 z^3 + 231 z^4) Log[1 - Sqrt[z]])/ (16384 z^(3/2)) + (15 (1 + 40 z + 568 z^2 - 840 z^3 + 231 z^4) Log[1 + Sqrt[z]])/(16384 z^(3/2)) - (1575 Sqrt[z] PolyLog[2, -Sqrt[z]])/ 2048 + (1575 Sqrt[z] PolyLog[2, Sqrt[z]])/2048










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