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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=-3/4, b1`>=-11/2 > For fixed z and a1=-3/4, b1`=7/2





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









  


  










Input Form





HypergeometricPFQ[{-(3/4)}, {7/2, 19/4}, z] == -((1/(7667712 Sqrt[2] z^(13/4))) (11 (2 Sqrt[z] (135135 - 730080 z - 608256 z^2 - 729088 z^3 + 65536 z^4) BesselI[-(1/4), Sqrt[z]]^2 + (-405405 + 1572480 z + 953856 z^2 + 688128 z^3 - 65536 z^4) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 2 Sqrt[z] (405405 + 1046304 z + 764928 z^2 + 712704 z^3 - 65536 z^4) 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