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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/07.20.17.0021.01









  


  








Input Form





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