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





http://functions.wolfram.com/07.27.03.9989.01









  


  










Input Form





HypergeometricPFQ[{-(5/2), -(5/2), -(5/2)}, {-(5/2), 3}, -z] == (32 (-5 - 100 z + 2898 z^2 - 3652 z^3 + 523 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(19845 Pi z^2) + (32 Sqrt[1 + z] (-5 - 100 z + 2898 z^2 - 3652 z^3 + 523 z^4) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(19845 Pi z^2) - (32 Sqrt[1 + z] (-5 - 2580 z + 7458 z^2 - 3988 z^3 + 315 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(19845 Pi z^2) - (32 (-5 + 2380 z - 1662 z^2 - 3316 z^3 + 731 z^4) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(19845 Pi z^2)










Standard Form





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MathML Form







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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