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HypergeometricU






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricU[a,b,z] > Identities > Recurrence identities > Distant neighbors





http://functions.wolfram.com/07.33.17.0010.01









  


  










Input Form





HypergeometricU[a, b, z] == Subscript[\[ScriptCapitalC], n][a, b, z] HypergeometricU[a - n, b, z] + (1/((n - a) (1 - n + a - b))) Subscript[\[ScriptCapitalC], n - 1][a, b, z] HypergeometricU[a - n - 1, b, z] /; Subscript[\[ScriptCapitalC], 0][a, b, z] == 1 && Subscript[\[ScriptCapitalC], 1][a, b, z] == (2 - 2 a + b - z)/((1 - a) (a - b)) && Subscript[\[ScriptCapitalC], n][a, b, z] == ((2 a - b + z - 2)/((a - 1) (a - b))) Subscript[\[ScriptCapitalC], n - 1][ a, b, z] + (1/((n - a - 1) (2 - n + a - b))) Subscript[\[ScriptCapitalC], n - 2][a, b, z] && Element[n, Integers] && n > 0










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





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