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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=-5/4, b1`>=-11/2 > For fixed z and a1=-5/4, b1`=11/2





http://functions.wolfram.com/07.22.03.aajv.01









  


  










Input Form





HypergeometricPFQ[{-(5/4)}, {11/2, -(7/4)}, -z] == -((1/(1076768 Sqrt[2] z^(13/4))) ((4 z (109643625 + 4455360 z + 562944 z^2 - 663552 z^3 + 65536 z^4) BesselJ[1/4, Sqrt[z]]^2 - 12 Sqrt[z] (182739375 - 8817900 z + 620160 z^2 - 360448 z^3 + 32768 z^4) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + (2741090625 - 375921000 z + 12729600 z^2 + 4500480 z^3 - 2850816 z^4 + 262144 z^5) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^2))










Standard Form





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MathML Form







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Rule Form





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





2007-05-02