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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=5/4, b1`>=-11/2 > For fixed z and a1=5/4, b1`=-7/2





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









  


  










Input Form





HypergeometricPFQ[{5/4}, {-(7/2), 11/4}, -z] == (1/(10240 Sqrt[2] z^(5/4))) ((2 Sqrt[z] (208845 - 207040 z + 18432 z^2) BesselJ[-(1/4), Sqrt[z]]^2 + (-626535 + 1591200 z - 338432 z^2 + 8192 z^3) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] - 2 Sqrt[z] (626535 - 254592 z + 19456 z^2) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^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