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AiryBiPrime




Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryBiPrime[z] > Integration > Indefinite integration > Involving direct function and Bessel-type functions > Involving other Airy functions > Involving Ai' and power > Linear arguments





http://functions.wolfram.com/03.08.21.0091.01









  


  








Input Form





Integrate[z^2 AiryAiPrime[a z] AiryBiPrime[a z], z] == (1/(7 a^3)) (AiryAi[a z] ((-a^4) z^4 AiryBi[a z] + 2 a^2 z^2 AiryBiPrime[a z]) + AiryAiPrime[a z] (2 a^2 z^2 AiryBi[a z] + (-4 + a^3 z^3) AiryBiPrime[a z]))








Standard Form





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MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List[SuperscriptBox["z_", "2"], " ", RowBox[List["AiryAiPrime", "[", RowBox[List["a_", " ", "z_"]], "]"]], " ", RowBox[List["AiryBiPrime", "[", RowBox[List["a_", " ", "z_"]], "]"]]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List[RowBox[List["AiryAi", "[", RowBox[List["a", " ", "z"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", SuperscriptBox["a", "4"]]], " ", SuperscriptBox["z", "4"], " ", RowBox[List["AiryBi", "[", RowBox[List["a", " ", "z"]], "]"]]]], "+", RowBox[List["2", " ", SuperscriptBox["a", "2"], " ", SuperscriptBox["z", "2"], " ", RowBox[List["AiryBiPrime", "[", RowBox[List["a", " ", "z"]], "]"]]]]]], ")"]]]], "+", RowBox[List[RowBox[List["AiryAiPrime", "[", RowBox[List["a", " ", "z"]], "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", SuperscriptBox["a", "2"], " ", SuperscriptBox["z", "2"], " ", RowBox[List["AiryBi", "[", RowBox[List["a", " ", "z"]], "]"]]]], "+", RowBox[List[RowBox[List["(", RowBox[List[RowBox[List["-", "4"]], "+", RowBox[List[SuperscriptBox["a", "3"], " ", SuperscriptBox["z", "3"]]]]], ")"]], " ", RowBox[List["AiryBiPrime", "[", RowBox[List["a", " ", "z"]], "]"]]]]]], ")"]]]]]], RowBox[List["7", " ", SuperscriptBox["a", "3"]]]]]]]]


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





2001-10-29