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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.abw0.01









  


  








Input Form





HypergeometricPFQ[{1/4}, {11/2, -(1/4)}, -z] == (1/(56576 Sqrt[2] z^(15/4))) (21 (4 z (768075 - 23100 z + 3584 z^2 + 2048 z^3) BesselJ[-(1/4), Sqrt[z]]^2 - 4 Sqrt[z] (2304225 - 508200 z + 1152 z^2 + 1024 z^3) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + (6912675 - 2841300 z + 225456 z^2 + 12288 z^3 + 8192 z^4) 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