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





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









  


  








Input Form





HypergeometricPFQ[{-(1/4)}, {11/2, -(19/4)}, -z] == (1/(1397792 Sqrt[2] z^(13/4))) (3 (4 z (-2464997535 + 186117360 z - 3776768 z^2 + 196608 z^3) BesselJ[1/4, Sqrt[z]]^2 - 4 Sqrt[z] (-12324987675 + 2026141260 z - 65312640 z^2 + 508928 z^3) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + (-61624938375 + 15608478600 z - 1039796160 z^2 + 5918720 z^3 + 786432 z^4) 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