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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`=-9/2





http://functions.wolfram.com/07.22.03.9193.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {-(9/2), 23/4}, -z] == ((2 Sqrt[z] (-14057774639086303125 + 12215970960503310000 z + 173527298904960000 z^2 + 68331507019776000 z^3 + 48869070579302400 z^4 - 12870813273292800 z^5 + 1215711632424960 z^6 - 64488933949440 z^7 + 2314987372544 z^8 - 68719476736 z^9) BesselJ[-(1/4), Sqrt[z]]^2 + (42173323917258909375 - 100912025517333030000 z + 9921678502095360000 z^2 + 23653213968384000 z^3 - 60302699347968000 z^4 + 13776612124262400 z^5 - 1260705105838080 z^6 + 66051228303360 z^7 - 2357937045504 z^8 + 68719476736 z^9) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 2 Sqrt[z] (42173323917258909375 - 10942267827180690000 z + 287851166418816000 z^2 + 46266726223872000 z^3 + 52746174480384000 z^4 - 13205474692300800 z^5 + 1232864658063360 z^6 - 65094524338176 z^7 + 2332167241728 z^8 - 68719476736 z^9) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(80728420043980800 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