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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=-21/4, b1`>=-11/2 > For fixed z and a1=-21/4, b1`=9/2





http://functions.wolfram.com/07.22.03.9007.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {9/2, -(19/4)}, -z] == -(((4 z (626111039428875 + 15235620901200 z - 146476929312000 z^2 + 29630241607680 z^3 - 2682027048960 z^4 + 148173225984 z^5 - 5989466112 z^6 + 268435456 z^7) BesselJ[1/4, Sqrt[z]]^2 - 12 Sqrt[z] (1043518399048125 + 118054606761000 z - 89076844886400 z^2 + 16127171020800 z^3 - 1411140648960 z^4 + 76905185280 z^5 - 3112173568 z^6 + 134217728 z^7) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + (15652775985721875 + 379461236017500 z + 683902549512000 z^2 - 688141231948800 z^3 + 127248603955200 z^4 - 11199448350720 z^5 + 611718266880 z^6 - 24763170816 z^7 + 1073741824 z^8) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/ (222502915542600 Sqrt[2] z^(9/4)))










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