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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`=5/2





http://functions.wolfram.com/07.22.03.9529.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {5/2, 23/4}, -z] == ((2 Sqrt[z] (-17865510428390625 + 302484832650000 z - 6335682312960000 z^2 - 118266069841920000 z^3 + 873286103737958400 z^4 + 445018528913817600 z^5 + 47632140258508800 z^6 + 1624662647767040 z^7 + 19391777341440 z^8 + 68719476736 z^9) BesselJ[-(1/4), Sqrt[z]]^2 - (-53596531285171875 + 82578359313450000 z + 37310129176320000 z^2 - 275954162964480000 z^3 + 659047662069350400 z^4 + 417762503294976000 z^5 + 46648498795315200 z^6 + 1612658214174720 z^7 + 19348827668480 z^8 + 68719476736 z^9) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 2 Sqrt[z] (53596531285171875 + 31760907428250000 z + 47869599697920000 z^2 - 225921406091673600 z^3 + 777985913792102400 z^4 + 433710711963648000 z^5 + 47233423009382400 z^6 + 1619841546977280 z^7 + 19374597472256 z^8 + 68719476736 z^9) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (1161522189434880000 Sqrt[2] z^(17/4))










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