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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/07.22.03.8216.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(1/2), 7/4}, z] == ((2 Sqrt[z] (204263984925 + 1415238739200 z - 4510502081280 z^2 + 1449039953920 z^3 - 113548787712 z^4 + 2667577344 z^5 - 16777216 z^6) BesselI[-(1/4), Sqrt[z]]^2 + (75293843625 - 67999932000 z + 3767164727040 z^2 - 1382357483520 z^3 + 111909732352 z^4 - 2657091584 z^5 + 16777216 z^6) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 2 Sqrt[z] (-75293843625 - 688820932800 z + 4187999312640 z^2 - 1421663895552 z^3 + 112888446976 z^4 - 2663383040 z^5 + 16777216 z^6) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (458723865600 Sqrt[2] z^(1/4))










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