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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=-7/2, a3>=-7/2 > For fixed z and a1=-7/2, a2=-7/2, a3=3/2 > For fixed z and a1=-7/2, a2=-7/2, a3=3/2, b1=-3/2





http://functions.wolfram.com/07.27.03.1590.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 3/2}, {-(3/2), 3}, -z] == -((1/(343035 Pi z^2)) (16 (-2450 - 9975 z - 94993 z^2 - 334909 z^3 - 1609929 z^4 + 668104 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])) - (1/(343035 Pi z^2)) (16 Sqrt[1 + z] (-2450 - 9975 z - 94993 z^2 - 334909 z^3 - 1609929 z^4 + 668104 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) + (1/(343035 Pi z^2)) (32 Sqrt[1 + z] (-1225 + 38045 z + 138861 z^2 + 562591 z^3 - 1345832 z^4 + 221760 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) + (1/(343035 Pi z^2)) (32 (-1225 - 48020 z - 233854 z^2 - 897500 z^3 - 264097 z^4 + 446344 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^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