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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=-1/2





http://functions.wolfram.com/07.27.03.1608.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(7/2), 3/2}, {-(1/2), 3}, -z] == (1/(114345 Pi z^2)) (32 (175 + 1015 z + 18358 z^2 + 258446 z^3 - 523669 z^4 + 90443 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2]) + (1/(114345 Pi z^2)) (32 Sqrt[1 + z] (175 + 1015 z + 18358 z^2 + 258446 z^3 - 523669 z^4 + 90443 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) - (1/(114345 Pi z^2)) (32 Sqrt[1 + z] (175 - 13300 z - 160422 z^2 + 897500 z^3 - 610193 z^4 + 55440 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) - (1/(114345 Pi z^2)) (32 (175 + 15330 z + 197138 z^2 - 380608 z^3 - 437145 z^4 + 125446 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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</apply> <apply> <times /> <cn type='integer'> 15330 </cn> <ci> z </ci> </apply> <cn type='integer'> 175 </cn> </apply> <apply> <ci> EllipticK </ci> <apply> <times /> <apply> <power /> <apply> <plus /> <apply> <power /> <apply> <plus /> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <apply> <power /> <apply> <plus /> <apply> <power /> <apply> <plus /> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> 1 </cn> </apply> <cn type='integer'> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 114345 </cn> <pi /> <apply> <power /> <ci> z </ci> <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