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variants of this functions
Hypergeometric0F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric0F1[b,z] > Identities > Recurrence identities > Distant neighbors > Decreasing





http://functions.wolfram.com/07.17.17.0012.01









  


  








Input Form





Hypergeometric0F1[b, z] == Subscript[\[ScriptCapitalC], n][b, z] Hypergeometric0F1[b - n, z] + (((-n - 1 + b) (-n + b))/z) Subscript[\[ScriptCapitalC], n - 1][b, z] Hypergeometric0F1[b - n - 1, z] /; Subscript[\[ScriptCapitalC], 0][b, z] == 1 && Subscript[\[ScriptCapitalC], 1][b, z] == -(((b - 2) (b - 1))/z) && Subscript[\[ScriptCapitalC], n][b, z] == (-(((-n - 1 + b) (-n + b))/z)) Subscript[\[ScriptCapitalC], n - 1][b, z] + (((-n + b) (1 - n + b))/z) Subscript[\[ScriptCapitalC], n - 2][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