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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=-3/4, b1`>=-11/2 > For fixed z and a1=-3/4, b1`=-11/2





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









  


  










Input Form





HypergeometricPFQ[{-(3/4)}, {-(11/2), -(21/4)}, z] == (1/(723647925 Sqrt[2])) (z^(1/4) ((723647925 + 1428499800 z + 830662560 z^2 + 127284480 z^3 + 8644608 z^4 + 278528 z^5) BesselI[-(1/4), Sqrt[z]]^2 - 4 Sqrt[z] (723647925 + 849581460 z + 202456800 z^2 + 19400256 z^3 + 897024 z^4 + 16384 z^5) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 36 z (80405325 + 30073680 z + 4153968 z^2 + 267264 z^3 + 8192 z^4) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^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