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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=-15/4, b1`>=-11/2 > For fixed z and a1=-15/4, b1`=-5/2





http://functions.wolfram.com/07.22.03.a81k.01









  


  










Input Form





HypergeometricPFQ[{-(15/4)}, {-(5/2), 7/4}, z] == (1/(4838400 Sqrt[2] z^(1/4))) ((2 Sqrt[z] (1743525 + 2397600 z + 967680 z^2 + 286720 z^3 - 65536 z^4) BesselI[-(1/4), Sqrt[z]]^2 + (2027025 - 2721600 z - 1036800 z^2 - 245760 z^3 + 65536 z^4) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 2 Sqrt[z] (-2027025 - 2630880 z - 1013760 z^2 - 270336 z^3 + 65536 z^4) 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