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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`=-7/2





http://functions.wolfram.com/07.22.03.8654.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(7/2), 13/4}, z] == ((2 Sqrt[z] (948702429675 + 1886365681200 z - 2392652908800 z^2 - 1010927554560 z^3 - 183585669120 z^4 - 22262317056 z^5 - 8103395328 z^6 + 268435456 z^7) BesselI[1/4, Sqrt[z]]^2 + 3 (-1581170716125 + 4179790414800 z + 3887909625600 z^2 + 1238236876800 z^3 + 213271511040 z^4 + 28956426240 z^5 + 7868514304 z^6 - 268435456 z^7) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (-4743512148375 + 2419878661200 z + 3489726240000 z^2 + 1188485222400 z^3 + 207449948160 z^4 + 28075622400 z^5 + 7902068736 z^6 - 268435456 z^7) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(3719607091200 Sqrt[2] z^(7/4))










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