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 StruveL

 http://functions.wolfram.com/03.10.17.0010.01

 Input Form

 StruveL[\[Nu], z] == -((2^(1 - \[Nu]) z^(-7 + \[Nu]) (z^6 + z^4 (1 - 2 \[Nu]) - 4 z^2 (24 - 82 \[Nu] + 83 \[Nu]^2 - 32 \[Nu]^3 + 4 \[Nu]^4) - 8 (90 - 441 \[Nu] + 812 \[Nu]^2 - 735 \[Nu]^3 + 350 \[Nu]^4 - 84 \[Nu]^5 + 8 \[Nu]^6)))/(Sqrt[Pi] Gamma[1/2 + \[Nu]])) - (4 (-2 + \[Nu]) (6 + z^2 - 8 \[Nu] + 2 \[Nu]^2) StruveL[-5 + \[Nu], z])/ z^3 + (1 + (4 (-2 + \[Nu]) (-1 + \[Nu]))/z^2 + (8 (-4 + \[Nu]) (-2 + \[Nu]) (6 + z^2 - 8 \[Nu] + 2 \[Nu]^2))/z^4) StruveL[-4 + \[Nu], z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["StruveL", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", RowBox[List[RowBox[List["(", RowBox[List[SuperscriptBox["2", RowBox[List["1", "-", "\[Nu]"]]], " ", SuperscriptBox["z", RowBox[List[RowBox[List["-", "7"]], "+", "\[Nu]"]]], " ", RowBox[List["(", RowBox[List[SuperscriptBox["z", "6"], "+", RowBox[List[SuperscriptBox["z", "4"], " ", RowBox[List["(", RowBox[List["1", "-", RowBox[List["2", " ", "\[Nu]"]]]], ")"]]]], "-", RowBox[List["4", " ", SuperscriptBox["z", "2"], " ", RowBox[List["(", RowBox[List["24", "-", RowBox[List["82", " ", "\[Nu]"]], "+", RowBox[List["83", " ", SuperscriptBox["\[Nu]", "2"]]], "-", RowBox[List["32", " ", SuperscriptBox["\[Nu]", "3"]]], "+", RowBox[List["4", " ", SuperscriptBox["\[Nu]", "4"]]]]], ")"]]]], "-", RowBox[List["8", " ", RowBox[List["(", RowBox[List["90", "-", RowBox[List["441", " ", "\[Nu]"]], "+", RowBox[List["812", " ", SuperscriptBox["\[Nu]", "2"]]], "-", RowBox[List["735", " ", SuperscriptBox["\[Nu]", "3"]]], "+", RowBox[List["350", " ", SuperscriptBox["\[Nu]", "4"]]], "-", RowBox[List["84", " ", SuperscriptBox["\[Nu]", "5"]]], "+", RowBox[List["8", " ", SuperscriptBox["\[Nu]", "6"]]]]], ")"]]]]]], ")"]]]], ")"]], "/", RowBox[List["(", RowBox[List[SqrtBox["\[Pi]"], " ", RowBox[List["Gamma", "[", RowBox[List[FractionBox["1", "2"], "+", "\[Nu]"]], "]"]]]], ")"]]]]]], "-", FractionBox[RowBox[List["4", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "2"]], "+", "\[Nu]"]], ")"]], " ", RowBox[List["(", RowBox[List["6", "+", SuperscriptBox["z", "2"], "-", RowBox[List["8", " ", "\[Nu]"]], "+", RowBox[List["2", " ", SuperscriptBox["\[Nu]", "2"]]]]], ")"]], " ", RowBox[List["StruveL", "[", RowBox[List[RowBox[List[RowBox[List["-", "5"]], "+", "\[Nu]"]], ",", "z"]], "]"]]]], SuperscriptBox["z", "3"]], "+", RowBox[List[RowBox[List["(", RowBox[List["1", "+", FractionBox[RowBox[List["4", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "2"]], "+", "\[Nu]"]], ")"]], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", "\[Nu]"]], ")"]]]], SuperscriptBox["z", "2"]], "+", FractionBox[RowBox[List["8", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "4"]], "+", "\[Nu]"]], ")"]], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "2"]], "+", "\[Nu]"]], ")"]], " ", RowBox[List["(", RowBox[List["6", "+", SuperscriptBox["z", "2"], "-", RowBox[List["8", " ", "\[Nu]"]], "+", RowBox[List["2", " ", SuperscriptBox["\[Nu]", "2"]]]]], ")"]]]], SuperscriptBox["z", "4"]]]], ")"]], " ", RowBox[List["StruveL", "[", RowBox[List[RowBox[List[RowBox[List["-", "4"]], "+", "\[Nu]"]], ",", "z"]], "]"]]]]]]]]]]

 MathML Form

 L StruveL ν ( z ) ( 4 ( ν - 2 ) ( ν - 1 ) z 2 + 8 ( ν - 4 ) ( ν - 2 ) ( z 2 + 2 ν 2 - 8 ν + 6 ) z 4 + 1 ) L StruveL ν - 4 ( z ) - 4 ( ν - 2 ) ( z 2 + 2 ν 2 - 8 ν + 6 ) L StruveL ν - 5 ( z ) z 3 - 1 π Γ ( ν + 1 2 ) ( 2 1 - ν z ν - 7 ( z 6 + ( 1 - 2 ν ) z 4 - 4 ( 4 ν 4 - 32 ν 3 + 83 ν 2 - 82 ν + 24 ) z 2 - 8 ( 8 ν 6 - 84 ν 5 + 350 ν 4 - 735 ν 3 + 812 ν 2 - 441 ν + 90 ) ) ) StruveL ν z 4 ν -2 ν -1 z 2 -1 8 ν -4 ν -2 z 2 2 ν 2 -1 8 ν 6 z 4 -1 1 StruveL ν -4 z -1 4 ν -2 z 2 2 ν 2 -1 8 ν 6 StruveL ν -5 z z 3 -1 -1 1 1 2 Gamma ν 1 2 -1 2 1 -1 ν z ν -7 z 6 1 -1 2 ν z 4 -1 4 4 ν 4 -1 32 ν 3 83 ν 2 -1 82 ν 24 z 2 -1 8 8 ν 6 -1 84 ν 5 350 ν 4 -1 735 ν 3 812 ν 2 -1 441 ν 90 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["StruveL", "[", RowBox[List["\[Nu]_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", FractionBox[RowBox[List[SuperscriptBox["2", RowBox[List["1", "-", "\[Nu]"]]], " ", SuperscriptBox["z", RowBox[List[RowBox[List["-", "7"]], "+", "\[Nu]"]]], " ", RowBox[List["(", RowBox[List[SuperscriptBox["z", "6"], "+", RowBox[List[SuperscriptBox["z", "4"], " ", RowBox[List["(", RowBox[List["1", "-", RowBox[List["2", " ", "\[Nu]"]]]], ")"]]]], "-", RowBox[List["4", " ", SuperscriptBox["z", "2"], " ", RowBox[List["(", RowBox[List["24", "-", RowBox[List["82", " ", "\[Nu]"]], "+", RowBox[List["83", " ", SuperscriptBox["\[Nu]", "2"]]], "-", RowBox[List["32", " ", SuperscriptBox["\[Nu]", "3"]]], "+", RowBox[List["4", " ", SuperscriptBox["\[Nu]", "4"]]]]], ")"]]]], "-", RowBox[List["8", " ", RowBox[List["(", RowBox[List["90", "-", RowBox[List["441", " ", "\[Nu]"]], "+", RowBox[List["812", " ", SuperscriptBox["\[Nu]", "2"]]], "-", RowBox[List["735", " ", SuperscriptBox["\[Nu]", "3"]]], "+", RowBox[List["350", " ", SuperscriptBox["\[Nu]", "4"]]], "-", RowBox[List["84", " ", SuperscriptBox["\[Nu]", "5"]]], "+", RowBox[List["8", " ", SuperscriptBox["\[Nu]", "6"]]]]], ")"]]]]]], ")"]]]], RowBox[List[SqrtBox["\[Pi]"], " ", RowBox[List["Gamma", "[", RowBox[List[FractionBox["1", "2"], "+", "\[Nu]"]], "]"]]]]]]], "-", FractionBox[RowBox[List["4", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "2"]], "+", "\[Nu]"]], ")"]], " ", RowBox[List["(", RowBox[List["6", "+", SuperscriptBox["z", "2"], "-", RowBox[List["8", " ", "\[Nu]"]], "+", RowBox[List["2", " ", SuperscriptBox["\[Nu]", "2"]]]]], ")"]], " ", RowBox[List["StruveL", "[", RowBox[List[RowBox[List[RowBox[List["-", "5"]], "+", "\[Nu]"]], ",", "z"]], "]"]]]], SuperscriptBox["z", "3"]], "+", RowBox[List[RowBox[List["(", RowBox[List["1", "+", FractionBox[RowBox[List["4", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "2"]], "+", "\[Nu]"]], ")"]], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", "\[Nu]"]], ")"]]]], SuperscriptBox["z", "2"]], "+", FractionBox[RowBox[List["8", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "4"]], "+", "\[Nu]"]], ")"]], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "2"]], "+", "\[Nu]"]], ")"]], " ", RowBox[List["(", RowBox[List["6", "+", SuperscriptBox["z", "2"], "-", RowBox[List["8", " ", "\[Nu]"]], "+", RowBox[List["2", " ", SuperscriptBox["\[Nu]", "2"]]]]], ")"]]]], SuperscriptBox["z", "4"]]]], ")"]], " ", RowBox[List["StruveL", "[", RowBox[List[RowBox[List[RowBox[List["-", "4"]], "+", "\[Nu]"]], ",", "z"]], "]"]]]]]]]]]]

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

 2002-12-18