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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`=-9/2





http://functions.wolfram.com/07.22.03.afj0.01









  


  










Input Form





HypergeometricPFQ[{19/4}, {-(9/2), 13/4}, z] == -((1/(37255680 Sqrt[2] z^(7/4))) ((2 Sqrt[z] (-122650605 + 35426160 z + 108218880 z^2 + 20275200 z^3 - 5701632 z^4 + 262144 z^5) BesselI[1/4, Sqrt[z]]^2 + 3 (204417675 - 266500080 z - 267886080 z^2 - 114892800 z^3 + 15400960 z^4 + 786432 z^5) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (613253025 + 508772880 z + 231390720 z^2 - 1843200 z^3 - 6389760 z^4 + 262144 z^5) 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