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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=13/4, b1`>=-11/2 > For fixed z and a1=13/4, b1`=-1/2





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









  


  










Input Form





HypergeometricPFQ[{13/4}, {-(1/2), 19/4}, -z] == -((1/(65536 Sqrt[2] z^(13/4))) (77 (2 Sqrt[z] (-765765 + 842400 z - 152064 z^2 + 8192 z^3) BesselJ[-(1/4), Sqrt[z]]^2 + (2297295 - 6027840 z + 1833984 z^2 - 180224 z^3) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 2 Sqrt[z] (2297295 - 1126944 z + 176640 z^2 - 8192 z^3) 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