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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=9/4, b1`>=-11/2 > For fixed z and a1=9/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.ada3.01









  


  










Input Form





HypergeometricPFQ[{9/4}, {-(9/2), -(21/4)}, -z] == (1/(986792625 Sqrt[2])) (z^(1/4) (-5 (-197358525 + 413513100 z - 276475680 z^2 + 67953600 z^3 - 10681344 z^4 + 1916928 z^5 + 1835008 z^6) BesselJ[-(1/4), Sqrt[z]]^2 + 4 Sqrt[z] (986792625 - 1278131400 z + 430045200 z^2 - 77984640 z^3 + 11520000 z^4 - 3440640 z^5 + 524288 z^6) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 12 z (328930875 - 162899100 z + 36419760 z^2 - 5564160 z^3 + 921600 z^4 + 720896 z^5) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^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