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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=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.8033.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(9/2), 15/4}, -z] == ((-2 Sqrt[z] (1604888276866875 - 758961943740000 z - 1151003939904000 z^2 + 593630740684800 z^3 - 101953614643200 z^4 + 9852703211520 z^5 - 693737881600 z^6 + 53150220288 z^7 + 4294967296 z^8) BesselJ[-(1/4), Sqrt[z]]^2 + (4814664830600625 - 9613517954040000 z - 1619118813312000 z^2 + 675532376064000 z^3 - 109224699494400 z^4 + 10325600501760 z^5 - 719742566400 z^6 + 50465865728 z^7 + 4294967296 z^8) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 2 Sqrt[z] (4814664830600625 + 657767017908000 z + 1349265677760000 z^2 - 623820369715200 z^3 + 104705556480000 z^4 - 10038993223680 z^5 + 705347715072 z^6 - 52076478464 z^7 - 4294967296 z^8) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(2365090430976000 Sqrt[2] z^(9/4))










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