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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`=5/2





http://functions.wolfram.com/07.22.03.ac7d.01









  


  








Input Form





HypergeometricPFQ[{3/4}, {5/2, -(23/4)}, -z] == (1/(504735 z^(1/4))) (Sqrt[2] ((504735 - 7039536 z + 514304 z^2 - 4096 z^3) BesselJ[1/4, Sqrt[z]]^2 + 256 Sqrt[z] (149835 - 22106 z + 544 z^2) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + (-50470875 + 11765040 z - 621824 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