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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=-21/4, b1`>=-11/2 > For fixed z and a1=-21/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.8591.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(9/2), -(3/4)}, -z] == (1/(297675 z^(1/4))) (Sqrt[2] ((297675 + 1058400 z - 726138 z^3 + 222432 z^4 - 32256 z^5 + 8192 z^6) BesselJ[1/4, Sqrt[z]]^2 - 3 Sqrt[z] (396900 + 882000 z - 511035 z^2 + 131376 z^3 - 19712 z^4 + 4096 z^5) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 2 z (595350 + 529200 z - 474705 z^2 + 127344 z^3 - 19200 z^4 + 4096 z^5) 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