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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=19/4, b1`>=-11/2 > For fixed z and a1=19/4, b1`=1/2





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









  


  








Input Form





HypergeometricPFQ[{19/4}, {1/2, 21/4}, z] == (1/(1261568 Sqrt[2] z^(15/4))) (221 (-6 Sqrt[z] (-135135 + 114576 z + 41216 z^2 + 4096 z^3) BesselI[1/4, Sqrt[z]]^2 + (-2027025 + 3160080 z + 1564416 z^2 + 282624 z^3 + 65536 z^4) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] - 18 Sqrt[z] (225225 + 129360 z + 28928 z^2 + 4096 z^3) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^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