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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`=-1/2





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









  


  








Input Form





HypergeometricPFQ[{9/4}, {-(1/2), -(17/4)}, -z] == (1/(49725 Sqrt[2])) (z^(1/4) ((49725 - 152100 z + 112320 z^2 + 136192 z^3 + 16384 z^4) BesselJ[-(1/4), Sqrt[z]]^2 + 4 Sqrt[z] (49725 - 112320 z - 68864 z^2 + 16384 z^3) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] - 4 z (-49725 + 1392 z + 37120 z^2 + 4096 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