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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=3/2, a3>=3/2 > For fixed z and a1=-7/2, a2=3/2, a3=5/2 > For fixed z and a1=-7/2, a2=3/2, a3=5/2, b1=1





http://functions.wolfram.com/07.27.03.7676.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), 3/2, 5/2}, {1, 1}, z] == -((8 (-83441 + 580208 z - 992256 z^2 + 491520 z^3) EllipticE[1/2 - Sqrt[1 - z]/2]^2)/(11025 Pi^2)) - (32 Sqrt[1 - z] (9809 - 39936 z + 30720 z^2) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2])/(11025 Pi^2) + (1/(11025 Pi^2)) (8 (-83441 + 580208 z - 992256 z^2 + 491520 z^3) EllipticE[1/2 - Sqrt[1 - z]/2] EllipticK[1/2 - Sqrt[1 - z]/2]) + (16 Sqrt[1 - z] (9809 - 39936 z + 30720 z^2) EllipticK[1/2 - Sqrt[1 - z]/2]^ 2)/(11025 Pi^2) - (4 (-50261 + 314392 z - 511488 z^2 + 245760 z^3) EllipticK[1/2 - Sqrt[1 - z]/2]^2)/(11025 Pi^2)










Standard Form





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MathML Form







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</apply> </apply> </apply> </apply> </apply> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 11025 </cn> <apply> <power /> <pi /> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02