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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`=-11/2





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









  


  










Input Form





HypergeometricPFQ[{19/4}, {-(11/2), 9/4}, -z] == -((1/(230519520 Sqrt[2] z^(3/4))) ((2 Sqrt[z] (-353170125 - 404157600 z + 44352000 z^2 + 50688000 z^3 + 3219456 z^4 + 131072 z^5) BesselJ[1/4, Sqrt[z]]^2 + 3 (204417675 + 517809600 z - 399168000 z^2 - 168960000 z^3 + 4587520 z^4 + 1048576 z^5) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] - 2 Sqrt[z] (613253025 - 676922400 z - 183744000 z^2 + 52531200 z^3 + 4300800 z^4 + 131072 z^5) 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