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





http://functions.wolfram.com/07.27.03.a89u.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), -(5/2), 5/2}, {-(3/2), 4}, -z] == (1/(2401245 Pi z^3)) (32 (-12600 - 18025 z + 34150 z^2 + 313263 z^3 + 610408 z^4 + 1051088 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2]) + (1/(2401245 Pi z^3)) (32 Sqrt[1 + z] (-12600 - 18025 z + 34150 z^2 + 313263 z^3 + 610408 z^4 + 1051088 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) - (1/(2401245 Pi z^3)) (256 (-1575 - 2450 z + 41605 z^2 + 146856 z^3 + 256268 z^4 + 151892 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2]) - (1/(2401245 Pi z^3)) (64 Sqrt[1 + z] (-6300 - 8225 z - 132270 z^2 - 274161 z^3 - 414664 z^4 + 443520 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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</math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02