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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=-7/4, b1`>=-11/2 > For fixed z and a1=-7/4, b1`=9/2





http://functions.wolfram.com/07.22.03.aa3c.01









  


  










Input Form





HypergeometricPFQ[{-(7/4)}, {9/2, 23/4}, z] == (19 (2 Sqrt[z] (-5065535475 + 29331862560 z + 23709853440 z^2 + 9513713664 z^3 + 8935636992 z^4 - 1004535808 z^5 + 16777216 z^6) BesselI[-(1/4), Sqrt[z]]^2 - (-15196606425 + 64838854080 z + 35597802240 z^2 + 13606354944 z^3 + 8335982592 z^4 - 994050048 z^5 + 16777216 z^6) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (15196606425 + 42226984800 z + 28042350336 z^2 + 11386109952 z^3 + 8691056640 z^4 - 1000341504 z^5 + 16777216 z^6) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(162678177792 Sqrt[2] z^(17/4))










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