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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=19/4, b1`>=-11/2 > For fixed z and a1=19/4, b1`=1/2





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









  


  










Input Form





HypergeometricPFQ[{19/4}, {1/2, -(23/4)}, -z] == (1/(5246720325 z^(1/4))) (Sqrt[2] ((5246720325 + 19161935100 z + 24332616000 z^2 + 6631446528 z^3 - 708083712 z^4 - 181665792 z^5 + 4194304 z^6) BesselJ[1/4, Sqrt[z]]^2 + 12 Sqrt[z] (-1748906775 - 4055436000 z - 44029440 z^2 + 955121664 z^3 + 133496832 z^4 + 10485760 z^5) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] - 4 z (-5246720325 + 3137173200 z + 3663797760 z^2 + 137797632 z^3 - 22609920 z^4 + 1048576 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