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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`=7/2





http://functions.wolfram.com/07.22.03.8389.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {7/2, -(13/4)}, -z] == ((4 z (2292816782025 + 3876455167200 z - 3061521619200 z^2 + 840066416640 z^3 - 155049984000 z^4 + 41844473856 z^5 + 4785700864 z^6 + 67108864 z^7) BesselJ[-(1/4), Sqrt[z]]^2 - 4 Sqrt[z] (6878450346075 + 3303934741800 z - 1908502041600 z^2 + 481030133760 z^3 - 86972497920 z^4 + 19483066368 z^5 + 2371878912 z^6 + 33554432 z^7) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + (20635351038225 + 5981261170500 z + 20243346076800 z^2 - 13368136320000 z^3 + 3550463262720 z^4 - 655060893696 z^5 + 162697052160 z^6 + 19075694592 z^7 + 268435456 z^8) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(9353666322000 Sqrt[2] z^(7/4))










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