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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`=-7/2





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









  


  








Input Form





HypergeometricPFQ[{1/4}, {-(7/2), 19/4}, z] == (1/(4194304 Sqrt[2] z^(13/4))) (33 (2 Sqrt[z] (111035925 + 107406000 z + 7637760 z^2 + 200704 z^3) BesselI[-(1/4), Sqrt[z]]^2 - 1105 (301455 + 750960 z + 140544 z^2 + 4096 z^3) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 34 Sqrt[z] (-19594575 - 7010640 z - 549120 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