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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/07.33.03.0612.01









  


  








Input Form





HypergeometricU[7/2, -3, -z] == -((1/(2027025 Sqrt[Pi])) ((32 z (z (-45 + z (-75 + 4 (-5 + z) z (75 + 4 (-12 + z) z))) BesselK[0, z/2] + (-180 + z (-300 + z (-375 + 4 z (-150 + z (253 + 4 (-16 + z) z))))) BesselK[1, z/2] - (z (-45 + z (-75 + 4 (-5 + z) z (75 + 4 (-12 + z) z))) BesselI[0, z/2] + (180 + z (300 + z (375 + 4 z (150 + z (-253 - 4 (-16 + z) 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