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variants of this functions
HypergeometricPFQRegularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQRegularized[{a1,...,ap},{b1,...,bq},z] > General characteristics > Symmetries and periodicities > Mirror symmetry





http://functions.wolfram.com/07.32.04.0003.02









  


  








Input Form





HypergeometricPFQRegularized[{Conjugate[Subscript[a, 1]], \[Ellipsis], Conjugate[Subscript[a, p]]}, {Conjugate[Subscript[b, 1]], \[Ellipsis], Conjugate[Subscript[b, q]]}, Conjugate[z]] == Conjugate[HypergeometricPFQRegularized[{Subscript[a, 1], \[Ellipsis], Subscript[a, p]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, z]] /; !(IntervalMemberQ[Interval[{1, Infinity}], z] && p == q + 1)








Standard Form





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MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HypergeometricPFQRegularized", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["Conjugate", "[", SubscriptBox["a_", "1"], "]"]], ",", "\[Ellipsis]_", ",", RowBox[List["Conjugate", "[", SubscriptBox["a_", "p_"], "]"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["Conjugate", "[", SubscriptBox["b_", "1"], "]"]], ",", "\[Ellipsis]_", ",", RowBox[List["Conjugate", "[", SubscriptBox["b_", "q_"], "]"]]]], "}"]], ",", RowBox[List["Conjugate", "[", "z_", "]"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Conjugate", "[", RowBox[List["HypergeometricPFQRegularized", "[", RowBox[List[RowBox[List["{", RowBox[List[SubscriptBox["aa", "1"], ",", "\[Ellipsis]", ",", SubscriptBox["aa", "p"]]], "}"]], ",", RowBox[List["{", RowBox[List[SubscriptBox["bb", "1"], ",", "\[Ellipsis]", ",", SubscriptBox["bb", "q"]]], "}"]], ",", "z"]], "]"]], "]"]], "/;", RowBox[List["!", RowBox[List["(", RowBox[List[RowBox[List["IntervalMemberQ", "[", RowBox[List[RowBox[List["Interval", "[", RowBox[List["{", RowBox[List["1", ",", "\[Infinity]"]], "}"]], "]"]], ",", "z"]], "]"]], "&&", RowBox[List["p", "\[Equal]", RowBox[List["q", "+", "1"]]]]]], ")"]]]]]]]]]]


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





2001-10-29