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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=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=-1/2





http://functions.wolfram.com/07.22.03.8204.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(1/2), -(5/4)}, z] == (1/(5221125 Sqrt[2])) (z^(1/4) ((5221125 - 37592100 z - 1002456000 z^2 + 1888720960 z^3 - 436116480 z^4 + 22462464 z^5 - 262144 z^6) BesselI[-(1/4), Sqrt[z]]^2 + 4 Sqrt[z] (-5221125 + 41769000 z - 206353560 z^2 + 52814720 z^3 - 2787328 z^4 + 32768 z^5) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 4 z (5221125 + 166042800 z - 446995920 z^2 + 107650816 z^3 - 5599232 z^4 + 65536 z^5) 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