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





http://functions.wolfram.com/07.27.03.2874.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), -(5/2), 3/2}, {3/2, 3}, -z] == -((16 (10 + 245 z - 9648 z^2 + 17942 z^3 - 4898 z^4 + 45 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(31185 Pi z^2)) - (16 Sqrt[1 + z] (10 + 245 z - 9648 z^2 + 17942 z^3 - 4898 z^4 + 45 z^5) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(31185 Pi z^2) - (32 Sqrt[1 + z] (-5 - 4020 z + 15234 z^2 - 11764 z^3 + 1755 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(31185 Pi z^2) + (32 (5 - 3775 z + 5586 z^2 + 6178 z^3 - 3143 z^4 + 45 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(31185 Pi z^2)










Standard Form





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MathML Form







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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'> 31185 </cn> <pi /> <apply> <power /> <ci> z </ci> <cn type='integer'> 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