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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`=1/2





http://functions.wolfram.com/07.22.03.a85k.01









  


  








Input Form





HypergeometricPFQ[{-(15/4)}, {1/2, 7/4}, z] == (1/(23587200 Sqrt[2] z^(1/4))) ((2 Sqrt[z] (11117925 - 76377600 z + 39467520 z^2 - 3604480 z^3 + 65536 z^4) BesselI[-(1/4), Sqrt[z]]^2 + (2027025 + 57002400 z - 37324800 z^2 + 3563520 z^3 - 65536 z^4) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (2027025 - 67798080 z + 38592000 z^2 - 3588096 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