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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=21/4, b1`>=-11/2 > For fixed z and a1=21/4, b1`=-9/2





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









  


  










Input Form





HypergeometricPFQ[{21/4}, {-(9/2), 3/4}, z] == -((1/(9398025 Sqrt[2])) (z^(1/4) ((-9398025 + 20884500 z + 13197600 z^2 - 8573760 z^3 + 1583104 z^4 + 16384 z^5) BesselI[-(1/4), Sqrt[z]]^2 + 1216 z^(3/2) (-61425 + 19305 z - 672 z^2 + 512 z^3) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 4 z (9398025 + 1425060 z - 2016144 z^2 + 357888 z^3 + 4096 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