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variants of this functions
Hypergeometric1F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric1F1[a,b,z] > Identities > Functional identities > Relations between contiguous functions





http://functions.wolfram.com/07.20.17.0008.01









  


  








Input Form





b Hypergeometric1F1[a, b, z] - b Hypergeometric1F1[a - 1, b, z] - z Hypergeometric1F1[a, b + 1, z] == 0








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["b", " ", RowBox[List["Hypergeometric1F1", "[", RowBox[List["a", ",", "b", ",", "z"]], "]"]]]], "-", RowBox[List["b", " ", RowBox[List["Hypergeometric1F1", "[", RowBox[List[RowBox[List["a", "-", "1"]], ",", "b", ",", "z"]], "]"]]]], "-", RowBox[List["z", " ", RowBox[List["Hypergeometric1F1", "[", RowBox[List["a", ",", RowBox[List["b", "+", "1"]], ",", "z"]], "]"]]]]]], "\[Equal]", "0"]]]]








MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["b_", " ", RowBox[List["Hypergeometric1F1", "[", RowBox[List["a_", ",", "b_", ",", "z_"]], "]"]]]], "-", RowBox[List["b_", " ", RowBox[List["Hypergeometric1F1", "[", RowBox[List[RowBox[List["a_", "-", "1"]], ",", "b_", ",", "z_"]], "]"]]]], "-", RowBox[List["z_", " ", RowBox[List["Hypergeometric1F1", "[", RowBox[List["a_", ",", RowBox[List["b_", "+", "1"]], ",", "z_"]], "]"]]]]]], "]"]], "\[RuleDelayed]", "0"]]]]


Date Added to functions.wolfram.com (modification date)





2001-10-29