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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=13/4, b1`>=-11/2 > For fixed z and a1=13/4, b1`=-5/2





http://functions.wolfram.com/07.22.03.ae8r.01









  


  










Input Form





HypergeometricPFQ[{13/4}, {-(5/2), -(21/4)}, -z] == -((1/(140970375 Sqrt[2])) (z^(1/4) ((-140970375 + 316847700 z - 250614000 z^2 + 106928640 z^3 - 31334400 z^4 - 37617664 z^5 + 1048576 z^6) BesselJ[-(1/4), Sqrt[z]]^ 2 + 4 Sqrt[z] (-140970375 + 204071400 z - 97381440 z^2 + 42301440 z^3 + 23052288 z^4 + 6815744 z^5) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] - 4 z (140970375 - 91295100 z + 34369920 z^2 - 681984 z^3 - 7766016 z^4 + 262144 z^5) 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