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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.afp5.01









  


  








Input Form





HypergeometricPFQ[{19/4}, {1/2, -(7/4)}, -z] == (1/(72765 z^(1/4))) (Sqrt[2] ((72765 + 540540 z + 1848000 z^2 - 1502208 z^3 + 16384 z^4) BesselJ[1/4, Sqrt[z]]^2 + 4 Sqrt[z] (-72765 - 443520 z - 1079040 z^2 + 131072 z^3) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 4 z (72765 + 147600 z + 280320 z^2 - 4096 z^3) 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