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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`=3/2





http://functions.wolfram.com/07.22.03.8304.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {3/2, -(1/4)}, z] == -((1/(4933963125 Sqrt[2])) (z^(1/4) ((-4933963125 - 83614129200 z + 171726571800 z^2 - 49704710400 z^3 + 3713310720 z^4 - 84869120 z^5 + 524288 z^6) BesselI[-(1/4), Sqrt[z]]^2 - 4 Sqrt[z] (-3503039400 + 18249107625 z - 5940043200 z^2 + 457643520 z^3 - 10567680 z^4 + 65536 z^5) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + (4292771175 + 54672181200 z - 160604451000 z^2 + 48808569600 z^3 - 3692298240 z^4 + 84738048 z^5 - 524288 z^6) 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