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





http://functions.wolfram.com/07.27.03.auz4.01









  


  








Input Form





HypergeometricPFQ[{3, 7/2, 7/2}, {1, 1}, -z] == ((229 - 4316 z + 11054 z^2 - 5500 z^3 + 405 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(30 Pi (1 + z)^8) + ((229 - 4316 z + 11054 z^2 - 5500 z^3 + 405 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (30 Pi (1 + z)^(15/2)) + ((-120 + 3311 z - 10883 z^2 + 6605 z^3 - 585 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (30 Pi z (1 + z)^7) + ((120 - 3649 z + 16204 z^2 - 17830 z^3 + 4980 z^4 - 225 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (30 Pi z (1 + z)^(15/2))








Standard Form





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MathML Form







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</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'> 30 </cn> <pi /> <ci> z </ci> <apply> <power /> <apply> <plus /> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <cn type='rational'> 15 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </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