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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=19/4, b1`>=-11/2 > For fixed z and a1=19/4, b1`=1/2





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









  


  










Input Form





HypergeometricPFQ[{19/4}, {1/2, 21/4}, -z] == -((1/(1261568 Sqrt[2] z^(15/4))) (221 (6 Sqrt[z] (135135 + 114576 z - 41216 z^2 + 4096 z^3) BesselJ[1/4, Sqrt[z]]^2 + (-2027025 - 3160080 z + 1564416 z^2 - 282624 z^3 + 65536 z^4) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 18 Sqrt[z] (225225 - 129360 z + 28928 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