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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=-21/4, b1`>=-11/2 > For fixed z and a1=-21/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.8602.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(9/2), 9/4}, z] == ((-2 Sqrt[z] (-355208969115 + 277729452000 z + 130599786240 z^2 + 21493334016 z^3 + 1991442432 z^4 + 132120576 z^5 + 16777216 z^6) BesselI[1/4, Sqrt[z]]^2 + 3 (105411381075 + 470581151040 z + 154418584320 z^2 + 23540858880 z^3 + 2131820544 z^4 + 146800640 z^5 + 16777216 z^6) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (316234143225 + 412553100960 z + 149483093760 z^2 + 23167549440 z^3 + 2107047936 z^4 + 144703488 z^5 + 16777216 z^6) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(418455797760 Sqrt[2] z^(3/4))










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