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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.a7wm.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {11/2, 21/4}, z] == -(((2 Sqrt[z] (-51614155686468375 - 85695521958446400 z - 53731773122227200 z^2 - 70660768750387200 z^3 + 44428898097561600 z^4 - 4303290032455680 z^5 + 129120205799424 z^6 - 1360430891008 z^7 + 4294967296 z^8) BesselI[1/4, Sqrt[z]]^2 - 3 (-86023592810780625 - 120956998069908000 z - 70650020939097600 z^2 - 37385101122969600 z^3 + 40845568219545600 z^4 - 4192290471936000 z^5 + 127936170557440 z^6 - 1356672794624 z^7 + 4294967296 z^8) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (110682800415061875 + 127352772106560000 z + 73336607830886400 z^2 + 41217038637465600 z^3 - 41324535653990400 z^4 + 4207776104448000 z^5 - 128104110489600 z^6 + 1357209665536 z^7 - 4294967296 z^8) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(42637283839180800 Sqrt[2] z^(15/4)))










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