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variants of this functions
Hypergeometric1F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric1F1[a,b,z] > Identities > Recurrence identities > Distant neighbors





http://functions.wolfram.com/07.20.17.0020.01









  


  








Input Form





Hypergeometric1F1[a, b, z] == Subscript[\[ScriptCapitalC], n][a, b, z] Hypergeometric1F1[a, b + n, z] + (((a - b - n) z)/((n + b - 1) (n + b))) Subscript[\[ScriptCapitalC], n - 1][a, b, z] Hypergeometric1F1[a, b + n + 1, z] /; Subscript[\[ScriptCapitalC], 0][a, b, z] == 1 && Subscript[\[ScriptCapitalC], 1][a, b, z] == (b + z)/b && Subscript[\[ScriptCapitalC], n][a, b, z] == ((n + b - 1 + z)/(n + b - 1)) Subscript[\[ScriptCapitalC], n - 1][a, b, z] - (((n - 1 - a + b) z)/((n + b - 1) (n + b - 2))) 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