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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=-9/4, b1`>=-11/2 > For fixed z and a1=-9/4, b1`=5/2





http://functions.wolfram.com/07.22.03.a9kn.01









  


  










Input Form





HypergeometricPFQ[{-(9/4)}, {5/2, 21/4}, -z] == (17 (2 Sqrt[z] (-383107725 - 778377600 z - 997920000 z^2 + 11127029760 z^3 + 9296216064 z^4 + 931135488 z^5 + 16777216 z^6) BesselJ[1/4, Sqrt[z]]^2 - 3 (-638512875 - 1751349600 z - 1902700800 z^2 + 4257792000 z^3 + 8506245120 z^4 + 916455424 z^5 + 16777216 z^6) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 2 Sqrt[z] (-1915538625 - 1167566400 z - 2594592000 z^2 + 5020876800 z^3 + 8614379520 z^4 + 918552576 z^5 + 16777216 z^6) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(139882659840 Sqrt[2] z^(15/4))










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