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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] > Specific values > Specialized values > Case 2F0





http://functions.wolfram.com/07.31.03.0084.01









  


  








Input Form





HypergeometricPFQ[{-n, b}, {}, z] == Pochhammer[b, n] (-z)^n Hypergeometric1F1[-n, 1 - b - n, -(1/z)] /; Element[n, Integers] && n >= 0








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["-", "n"]], ",", "b"]], "}"]], ",", RowBox[List["{", "}"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["Pochhammer", "[", RowBox[List["b", ",", "n"]], "]"]], SuperscriptBox[RowBox[List["(", RowBox[List["-", "z"]], ")"]], RowBox[List["n", " "]]], RowBox[List["Hypergeometric1F1", "[", RowBox[List[RowBox[List["-", "n"]], ",", RowBox[List["1", "-", "b", "-", "n"]], ",", RowBox[List["-", FractionBox["1", "z"]]]]], "]"]]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]








MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["-", "n_"]], ",", "b_"]], "}"]], ",", RowBox[List["{", "}"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["Pochhammer", "[", RowBox[List["b", ",", "n"]], "]"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", "z"]], ")"]], "n"], " ", RowBox[List["Hypergeometric1F1", "[", RowBox[List[RowBox[List["-", "n"]], ",", RowBox[List["1", "-", "b", "-", "n"]], ",", RowBox[List["-", FractionBox["1", "z"]]]]], "]"]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]]]


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





2001-10-29