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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=-17/4, b1`>=-11/2 > For fixed z and a1=-17/4, b1`=11/2





http://functions.wolfram.com/07.22.03.a7vm.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {11/2, -(15/4)}, z] == ((-4 z (208703679809625 - 16864943823000 z + 1224920188800 z^2 + 3339973969920 z^3 + 564701921280 z^4 + 45460488192 z^5 + 2407530496 z^6 + 134217728 z^7) BesselI[1/4, Sqrt[z]]^2 + 12 Sqrt[z] (347839466349375 + 2810823970500 z + 2823250248000 z^2 + 1963317888000 z^3 + 304457072640 z^4 + 23882629120 z^5 + 1262485504 z^6 + 67108864 z^7) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + (-5217591995240625 - 505948314690000 z - 30240588924000 z^2 + 18132424128000 z^3 + 15274983628800 z^4 + 2406287278080 z^5 + 189593026560 z^6 + 10032775168 z^7 + 536870912 z^8) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(5204746562400 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