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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.a99y.01









  


  










Input Form





HypergeometricPFQ[{-(9/4)}, {-(11/2), 21/4}, z] == -((221 (2 Sqrt[z] (-15569881051725 + 17033716022400 z + 973355201280 z^2 + 36832739328 z^3 + 18129420288 z^4 + 1031798784 z^5 + 16777216 z^6) BesselI[1/4, Sqrt[z]]^2 - 3 (-25949801752875 + 46842719061600 z + 9192799123200 z^2 + 223278612480 z^3 + 19057016832 z^4 + 1046478848 z^5 + 16777216 z^6) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] - 2 Sqrt[z] (-77849405258625 - 25550574033600 z - 1622258668800 z^2 + 40596111360 z^3 + 18919784448 z^4 + 1044381696 z^5 + 16777216 z^6) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/ (7161992183808 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