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http://functions.wolfram.com/07.23.17.0140.01
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(a - c) Hypergeometric2F1[a, b, c + 1, z] +
((c - b) z - a) Hypergeometric2F1[a + 1, b, c + 1, z] ==
c (z - 1) Hypergeometric2F1[a + 1, b, c, z]
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["a_", "-", "c_"]], ")"]], " ", RowBox[List["Hypergeometric2F1", "[", RowBox[List["a_", ",", "b_", ",", RowBox[List["c_", "+", "1"]], ",", "z_"]], "]"]]]], "+", RowBox[List[RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["c_", "-", "b_"]], ")"]], " ", "z_"]], "-", "a_"]], ")"]], " ", RowBox[List["Hypergeometric2F1", "[", RowBox[List[RowBox[List["a_", "+", "1"]], ",", "b_", ",", RowBox[List["c_", "+", "1"]], ",", "z_"]], "]"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["c", " ", RowBox[List["(", RowBox[List["z", "-", "1"]], ")"]], " ", RowBox[List["Hypergeometric2F1", "[", RowBox[List[RowBox[List["a", "+", "1"]], ",", "b", ",", "c", ",", "z"]], "]"]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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HypergeometricPFQ[{},{},z] | HypergeometricPFQ[{},{b},z] | HypergeometricPFQ[{a},{},z] | HypergeometricPFQ[{a},{b},z] | HypergeometricPFQ[{a1},{b1,b2},z] | HypergeometricPFQ[{a1,a2},{b1,b2},z] | HypergeometricPFQ[{a1,a2},{b1,b2,b3},z] | HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] | HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] | HypergeometricPFQ[{a1,a2,a3,a4,a5},{b1,b2,b3,b4},z] | HypergeometricPFQ[{a1,a2,a3,a4,a5,a6},{b1,b2,b3,b4,b5},z] | HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] | |
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