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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=3/4, b1`>=-11/2 > For fixed z and a1=3/4, b1`=-1/2





http://functions.wolfram.com/07.22.03.ac4m.01









  


  








Input Form





HypergeometricPFQ[{3/4}, {-(1/2), 21/4}, -z] == -((1/(3670016 Sqrt[2] z^(15/4))) (3315 (2 Sqrt[z] (1540539 + 1718640 z - 59136 z^2 + 4096 z^3) BesselJ[1/4, Sqrt[z]]^2 - 3 (2567565 + 4690224 z - 808192 z^2 + 4096 z^3) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 2 Sqrt[z] (7702695 - 2361744 z + 109824 z^2 + 4096 z^3) 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