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HypergeometricU






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricU[a,b,z] > Specific values > For fixed z > For fixed z and a=-7/2





http://functions.wolfram.com/07.33.03.0195.01









  


  










Input Form





HypergeometricU[-(7/2), 5, -z] == (1/(64 Sqrt[Pi] z^3)) ((z (315 + 2 z (-315 + z (11025 + 8 z (1470 + z (465 + 2 z (27 + z)))))) BesselK[0, z/2] - 2 (-630 + z (1260 + z (-1890 + z (3675 + 16 z (540 + z (207 + z (26 + z))))))) BesselK[1, z/2] - (z (315 + 2 z (-315 + z (11025 + 8 z (1470 + z (465 + 2 z (27 + z)))))) BesselI[0, z/2] + 2 (-630 + z (1260 + z (-1890 + z (3675 + 16 z (540 + z (207 + z (26 + z))))))) BesselI[1, z/2]) (Log[-z] - Log[z]))/E^(z/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