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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`=1/2





http://functions.wolfram.com/07.22.03.9425.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {1/2, 15/4}, -z] == ((2 Sqrt[z] (-206239658625 - 157134978000 z + 10474003987200 z^2 + 47511144345600 z^3 + 18505329868800 z^4 + 1616133488640 z^5 + 40684748800 z^6 + 268435456 z^7) BesselJ[-(1/4), Sqrt[z]]^2 - (-618718975875 + 471404934000 z - 1508495788800 z^2 + 38228516352000 z^3 + 17560461312000 z^4 + 1591156408320 z^5 + 40516976640 z^6 + 268435456 z^7) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 2 Sqrt[z] (618718975875 + 848528881200 z + 3519823507200 z^2 + 43446224793600 z^3 + 18116694835200 z^4 + 1606067159040 z^5 + 40617639936 z^6 + 268435456 z^7) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(22876618752000 Sqrt[2] z^(9/4))










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