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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`=-9/2





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









  


  










Input Form





HypergeometricPFQ[{1/4}, {-(9/2), 3/4}, -z] == (1/(7560 Sqrt[2])) (z^(1/4) (2 (3780 - 3965 z + 528 z^2) BesselJ[-(1/4), Sqrt[z]]^2 + Sqrt[z] (20295 - 8464 z + 256 z^2) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 10 (1035 - 112 z) z 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