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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=1/4, b1`>=-11/2 > For fixed z and a1=1/4, b1`=-7/2





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









  


  










Input Form





HypergeometricPFQ[{1/4}, {-(7/2), -(13/4)}, -z] == (1/(61425 Sqrt[2])) (z^(1/4) ((61425 - 124200 z + 76560 z^2 - 14720 z^3 + 2048 z^4) BesselJ[-(1/4), Sqrt[z]]^2 - 4 Sqrt[z] (-61425 + 75060 z - 20880 z^2 + 2816 z^3) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] - 4 z (-61425 + 25920 z - 4512 z^2 + 512 z^3) 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