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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`=-1/2





http://functions.wolfram.com/07.22.03.ag4n.01









  


  










Input Form





HypergeometricPFQ[{21/4}, {-(1/2), 23/4}, -z] == (1/(115867648 Sqrt[2] z^(17/4))) (1463 (22 Sqrt[z] (21928725 - 25618320 z + 6140160 z^2 - 724992 z^3 + 65536 z^4) BesselJ[-(1/4), Sqrt[z]]^2 + (-723647925 + 1948106160 z - 711809280 z^2 + 109228032 z^3 - 10289152 z^4 + 1048576 z^5) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] - 2 Sqrt[z] (723647925 - 404323920 z + 84494592 z^2 - 9523200 z^3 + 851968 z^4) 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