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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`=-7/2





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









  


  










Input Form





HypergeometricPFQ[{15/4}, {-(7/2), -(19/4)}, -z] == (1/(1596827925 z^(1/4))) (Sqrt[2] ((1596827925 + 2833469100 z + 435425760 z^2 - 606957120 z^3 + 241274880 z^4 + 423886848 z^5 - 565182464 z^6 + 4194304 z^7) BesselJ[1/4, Sqrt[z]]^2 + 4 Sqrt[z] (-1596827925 - 704365200 z + 909271440 z^2 - 328204800 z^3 + 33116160 z^4 - 423886848 z^5 + 41943040 z^6) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 4 z (1596827925 - 1424738700 z + 584836560 z^2 - 188052480 z^3 + 132464640 z^4 + 110624768 z^5 - 1048576 z^6) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^2)










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