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





http://functions.wolfram.com/07.27.03.alu5.01









  


  








Input Form





HypergeometricPFQ[{-(1/2), 3, 7/2}, {1, 2}, -z] == ((167 + 607 z + 672 z^2 + 240 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(30 Pi (1 + z)^3) + ((167 + 607 z + 672 z^2 + 240 z^3) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(30 Pi (1 + z)^(5/2)) + (4 (-15 - 94 z - 138 z^2 - 60 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(15 Pi z (1 + z)^2) + ((60 + 269 z + 321 z^2 + 120 z^3) EllipticK[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2])/(15 Pi z (1 + z)^(5/2))








Standard Form





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MathML Form







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</cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 15 </cn> <pi /> <ci> z </ci> <apply> <power /> <apply> <plus /> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <cn type='rational'> 5 <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