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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.afox.01









  


  










Input Form





HypergeometricPFQ[{19/4}, {1/2, -(15/4)}, -z] == (1/(12006225 z^(1/4))) (Sqrt[2] ((12006225 + 54428220 z + 90034560 z^2 + 54872064 z^3 + 22118400 z^4 - 262144 z^5) BesselJ[1/4, Sqrt[z]]^2 - 12 Sqrt[z] (4002075 + 12806640 z + 5713920 z^2 - 888832 z^3 + 720896 z^4) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 4 z (12006225 - 859680 z - 12925440 z^2 - 3956736 z^3 + 65536 z^4) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^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