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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=-5/4, b1`>=-11/2 > For fixed z and a1=-5/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.aa7a.01









  


  










Input Form





HypergeometricPFQ[{-(5/4)}, {-(9/2), 21/4}, z] == -((221 (2 Sqrt[z] (-576662261175 + 624118960080 z + 44190558720 z^2 + 1212997632 z^3 + 389349376 z^4 + 13631488 z^5) BesselI[1/4, Sqrt[z]]^2 - 3 (-961103768625 + 1723649835600 z + 362052472320 z^2 + 9647841280 z^3 + 401276928 z^4 + 13631488 z^5) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (2883311305875 + 980114612400 z + 67448747520 z^2 - 912875520 z^3 - 399572992 z^4 - 13631488 z^5) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(162772549632 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