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variants of this functions
Hypergeometric1F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric1F1[a,b,z] > Differentiation > Symbolic differentiation > With respect to a





http://functions.wolfram.com/07.20.20.0010.02









  


  








Input Form





Derivative[n, 0, 0][Hypergeometric1F1][a, b, z] == Sum[(1/(k! Pochhammer[b, k])) D[Pochhammer[a, k], {a, n}] z^k, {k, 0, Infinity}] /; Element[n, Integers] && n >= 0








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[RowBox[List[RowBox[List["Derivative", "[", RowBox[List["n", ",", "0", ",", "0"]], "]"]], "[", "Hypergeometric1F1", "]"]], "[", RowBox[List["a", ",", "b", ",", "z"]], "]"]], "\[Equal]", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], RowBox[List[FractionBox["1", RowBox[List[RowBox[List["k", "!"]], RowBox[List["Pochhammer", "[", RowBox[List["b", ",", "k"]], "]"]]]]], RowBox[List["D", "[", RowBox[List[RowBox[List["Pochhammer", "[", RowBox[List["a", ",", "k"]], "]"]], ",", RowBox[List["{", RowBox[List["a", ",", "n"]], "}"]]]], "]"]], SuperscriptBox["z", "k"]]]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]








MathML Form







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Rule Form





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





2001-10-29