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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=1 > For fixed z and a1=-5/2, a2=-1/2, a3=1, b1=7/2





http://functions.wolfram.com/07.27.03.a9q7.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), -(1/2), 1}, {7/2, 7/2}, z] == (-5505 - 49810 z + 37866 z^2 + 1110 z^3 - 45 z^4)/(98304 z^2) - (5 (247 + 1425 z - 300 z^2 - 1300 z^3 - 75 z^4 + 3 z^5) Log[1 - Sqrt[z]])/ (65536 z^(5/2)) + (5 (247 + 1425 z - 300 z^2 - 1300 z^3 - 75 z^4 + 3 z^5) Log[1 + Sqrt[z]])/(65536 z^(5/2)) - (75 (1 + 15 z + 30 z^2 + 10 z^3) PolyLog[2, -Sqrt[z]])/(8192 z^(5/2)) + (75 (1 + 15 z + 30 z^2 + 10 z^3) PolyLog[2, Sqrt[z]])/(8192 z^(5/2))










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