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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=-5/4, b1`>=-11/2 > For fixed z and a1=-5/4, b1`=11/2





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









  


  










Input Form





HypergeometricPFQ[{-(5/4)}, {11/2, 13/4}, -z] == (1/(1076768 Sqrt[2] z^(13/4))) (9 (2 z (22050 - 144165 z + 219184 z^2 + 105728 z^3 + 4096 z^4) BesselJ[1/4, Sqrt[z]]^2 - 3 Sqrt[z] (73500 - 206675 z + 132720 z^2 + 102144 z^3 + 4096 z^4) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + (275625 + 252000 z - 433650 z^2 + 287840 z^3 + 205312 z^4 + 8192 z^5) 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