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





http://functions.wolfram.com/07.27.03.a8lm.01









  


  








Input Form





HypergeometricPFQ[{-(5/2), -(5/2), 4}, {2, 2}, -z] == ((-40 + 8781 z - 32854 z^2 + 10421 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(1470 Pi z) + (Sqrt[1 + z] (-40 + 8781 z - 32854 z^2 + 10421 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(1470 Pi z) + (Sqrt[1 + z] (2960 - 22033 z + 23638 z^2 - 3465 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(735 Pi z) + (4 (-730 + 3313 z + 2304 z^2 - 1739 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(735 Pi 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