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





http://functions.wolfram.com/07.22.03.a8v9.01









  


  










Input Form





HypergeometricPFQ[{-(11/4)}, {-(9/2), 19/4}, -z] == ((-2 Sqrt[z] (4232134281375 - 3624212592000 z - 67632364800 z^2 - 77028556800 z^3 + 14751170560 z^4 - 822083584 z^5 + 16777216 z^6) BesselJ[-(1/4), Sqrt[z]]^2 + (12696402844125 - 30219537348000 z + 2696472979200 z^2 - 87824056320 z^3 + 15293153280 z^4 - 832569344 z^5 + 16777216 z^6) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 2 Sqrt[z] (12696402844125 - 3133877947200 z + 138205267200 z^2 + 81068359680 z^3 - 14963245056 z^4 + 826277888 z^5 - 16777216 z^6) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(117776056320 Sqrt[2] z^(13/4))










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