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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`=-11/2





http://functions.wolfram.com/07.22.03.8546.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(11/2), 1/4}, z] == (1/(314344800 Sqrt[2] z^(1/4))) ((-2 (-314344800 - 571536000 z + 820848735 z^2 + 263077920 z^3 + 31094784 z^4 + 1892352 z^5 + 65536 z^6) BesselI[1/4, Sqrt[z]]^2 + 3 Sqrt[z] (838252800 + 1114065225 z + 293509440 z^2 + 32847360 z^3 + 1949696 z^4 + 65536 z^5) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 z (1257379200 + 1056051675 z + 288459360 z^2 + 32578560 z^3 + 1941504 z^4 + 65536 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