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





http://functions.wolfram.com/07.22.03.a91w.01









  


  










Input Form





HypergeometricPFQ[{-(11/4)}, {1/2, 19/4}, z] == ((2 Sqrt[z] (468242775 + 194594400 z - 34594560 z^2 + 1658142720 z^3 - 4161208320 z^4 + 677380096 z^5 - 16777216 z^6) BesselI[-(1/4), Sqrt[z]]^2 + (-1404728325 - 2724321600 z + 726485760 z^2 + 3766026240 z^4 - 666894336 z^5 + 16777216 z^6) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 2 Sqrt[z] (1404728325 - 272432160 z + 311351040 z^2 - 851558400 z^3 + 3998416896 z^4 - 673185792 z^5 + 16777216 z^6) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(3680501760 Sqrt[2] z^(13/4))










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