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





http://functions.wolfram.com/07.27.03.a93o.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), -(3/2), 2}, {5/2, 7/2}, z] == (135 + 2670 z + 39938 z^2 + 20430 z^3 + 315 z^4)/(65536 z^2) + (15 (9 + 55 z - 1020 z^2 + 180 z^3 + 755 z^4 + 21 z^5) Log[1 - Sqrt[z]])/ (131072 z^(5/2)) - (15 (9 + 55 z - 1020 z^2 + 180 z^3 + 755 z^4 + 21 z^5) Log[1 + Sqrt[z]])/(131072 z^(5/2)) - (225 (-1 + 6 z + 18 z^2 + 5 z^3) PolyLog[2, -Sqrt[z]])/(16384 z^(3/2)) + (225 (-1 + 6 z + 18 z^2 + 5 z^3) PolyLog[2, Sqrt[z]])/(16384 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