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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=1/4, b1`>=-11/2 > For fixed z and a1=1/4, b1`=9/2





http://functions.wolfram.com/07.22.03.abv7.01









  


  










Input Form





HypergeometricPFQ[{1/4}, {9/2, 19/4}, z] == (1/(212992 Sqrt[2] z^(13/4))) (77 (2 Sqrt[z] (45045 + 38320 z + 11008 z^2 + 4096 z^3) BesselI[-(1/4), Sqrt[z]]^2 - (135135 + 52080 z + 13568 z^2 + 4096 z^3) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (66465 + 42672 z + 12032 z^2 + 4096 z^3) 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