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





http://functions.wolfram.com/07.22.03.a9o6.01









  


  










Input Form





HypergeometricPFQ[{-(9/4)}, {11/2, 5/4}, z] == (1/(20766240 Sqrt[2] z^(13/4))) ((-4 z (-1658475 + 615600 z - 10702080 z^2 + 15024384 z^3 - 2531328 z^4 + 65536 z^5) BesselI[1/4, Sqrt[z]]^2 + 12 Sqrt[z] (-2764125 + 780300 z - 432000 z^2 + 6453120 z^3 - 1236992 z^4 + 32768 z^5) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + (41461875 - 8019000 z + 5313600 z^2 - 6912000 z^3 + 52761600 z^4 - 9928704 z^5 + 262144 z^6) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)










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