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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`=3/2





http://functions.wolfram.com/07.22.03.9481.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {3/2, 23/4}, -z] == ((2 Sqrt[z] (9290065422763125 - 3375730732374000 z - 985550582016000 z^2 + 1576880931225600 z^3 + 183226758414336000 z^4 + 161296911433728000 z^5 + 24808058592952320 z^6 + 1105250777825280 z^7 + 16290810953728 z^8 + 68719476736 z^9) BesselJ[-(1/4), Sqrt[z]]^2 - (27870196268289375 - 52596062701182000 z - 17528721065856000 z^2 - 6307523724902400 z^3 + 113535427048243200 z^4 + 147469561705267200 z^5 + 24143840893992960 z^6 + 1095184448225280 z^7 + 16247861280768 z^8 + 68719476736 z^9) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 2 Sqrt[z] (-27870196268289375 - 6860356004502000 z - 6166730784614400 z^2 - 11038166518579200 z^3 + 150839652689510400 z^4 + 155497927960166400 z^5 + 24537982996316160 z^6 + 1101204918632448 z^7 + 16273631084544 z^8 + 68719476736 z^9) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (278765325464371200 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