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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/07.20.17.0019.01









  


  








Input Form





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