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





http://functions.wolfram.com/07.27.03.2061.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 7/2}, {-(5/2), 3}, -z] == (1/(1715175 Pi z^2)) (32 (-735 + 7595 z + 277015 z^2 + 1179429 z^3 + 2256304 z^4 + 4132544 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2]) + (1/(1715175 Pi z^2)) (32 Sqrt[1 + z] (-735 + 7595 z + 277015 z^2 + 1179429 z^3 + 2256304 z^4 + 4132544 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) - (1/(1715175 Pi z^2)) (32 Sqrt[1 + z] (-735 - 206710 z - 1003215 z^2 - 2016936 z^3 - 3245504 z^4 + 3548160 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) - (1/(1715175 Pi z^2)) (32 (-735 + 221900 z + 1557245 z^2 + 4375794 z^3 + 7758112 z^4 + 4716928 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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Date Added to functions.wolfram.com (modification date)





2007-05-02