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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=-15/4, b1`>=-11/2 > For fixed z and a1=-15/4, b1`=-5/2





http://functions.wolfram.com/07.22.03.a821.01









  


  










Input Form





HypergeometricPFQ[{-(15/4)}, {-(5/2), 23/4}, -z] == -((19 (2 Sqrt[z] (605964681196875 - 503080037460000 z - 24083002944000 z^2 - 5175346176000 z^3 - 4663561420800 z^4 + 1712377036800 z^5 - 260214620160 z^6 + 34896609280 z^7 + 4294967296 z^8) BesselJ[-(1/4), Sqrt[z]]^2 + (-1817894043590625 + 4279364369280000 z - 270470648448000 z^2 + 5645832192000 z^3 + 5906409062400 z^4 - 1883661926400 z^5 + 274810798080 z^6 - 32212254720 z^7 - 4294967296 z^8) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 2 Sqrt[z] (-1817894043590625 + 401190409620000 z - 5557616064000 z^2 - 3626361446400 z^3 - 5177475072000 z^4 + 1783155916800 z^5 - 267261050880 z^6 + 33822867456 z^7 + 4294967296 z^8) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(160175436595200 Sqrt[2] z^(17/4)))










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