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





http://functions.wolfram.com/07.27.03.7936.01









  


  










Input Form





HypergeometricPFQ[{-(7/2), 3/2, 7/2}, {5/2, 4}, -z] == (1/(225225 Pi z^3)) (32 (-280 + 1435 z + 5250 z^2 + 26395 z^3 + 35228 z^4 + 20688 z^5 + 4608 z^6) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2]) + (1/(225225 Pi z^3)) (32 Sqrt[1 + z] (-280 + 1435 z + 5250 z^2 + 26395 z^3 + 35228 z^4 + 20688 z^5 + 4608 z^6) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2]) + (1/(225225 Pi z^3)) (64 Sqrt[1 + z] (140 - 735 z + 11550 z^2 + 16465 z^3 + 10056 z^4 + 2304 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) - (1/(225225 Pi z^3)) (256 (-35 + 175 z + 4200 z^2 + 10715 z^3 + 11321 z^4 + 5748 z^5 + 1152 z^6) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])










Standard Form





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MathML Form







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</annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02