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variants of this functions
Hypergeometric0F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric0F1Regularized[b,z] > Identities > Recurrence identities > Distant neighbors > Increasing





http://functions.wolfram.com/07.18.17.0011.01









  


  








Input Form





Hypergeometric0F1Regularized[b, z] == Subscript[\[ScriptCapitalC], n][b, z] Hypergeometric0F1Regularized[n + b, z] + z Subscript[\[ScriptCapitalC], n - 1][b, z] Hypergeometric0F1Regularized[n + 1 + b, z] /; Subscript[\[ScriptCapitalC], 0][b, z] == 1 && Subscript[\[ScriptCapitalC], 1][b, z] == b && Subscript[\[ScriptCapitalC], 2][b, z] == b + b^2 + z && Subscript[\[ScriptCapitalC], n][b, z] == (b + n - 1) Subscript[\[ScriptCapitalC], n - 1][b, z] + 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