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





http://functions.wolfram.com/07.22.03.a979.01









  


  










Input Form





HypergeometricPFQ[{-(11/4)}, {9/2, 19/4}, -z] == ((2 Sqrt[z] (-92868150375 + 185707922400 z - 133362028800 z^2 + 233465856000 z^3 + 47645655040 z^4 + 1876951040 z^5 + 16777216 z^6) BesselJ[-(1/4), Sqrt[z]]^2 - (-278604451125 + 342356414400 z - 218464646400 z^2 + 206644838400 z^3 + 46500741120 z^4 + 1866465280 z^5 + 16777216 z^6) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 2 Sqrt[z] (-200876150475 + 251999748000 z - 176259283200 z^2 + 222256742400 z^3 + 47182970880 z^4 + 1872756736 z^5 + 16777216 z^6) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (254184652800 Sqrt[2] z^(13/4))










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