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AiryBi




Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryBi[z] > Differential equations > Ordinary linear differential equations and wronskians > Involving related functions





http://functions.wolfram.com/03.06.13.0006.01









  


  








Input Form





Wronskian[AiryAi[z]^2, AiryAi[z] AiryBi[z], AiryBi[z]^2, z] == 2/Pi^3








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Wronskian", "[", RowBox[List[SuperscriptBox[RowBox[List["AiryAi", "[", "z", "]"]], "2"], ",", RowBox[List[RowBox[List["AiryAi", "[", "z", "]"]], " ", RowBox[List["AiryBi", "[", "z", "]"]]]], ",", SuperscriptBox[RowBox[List["AiryBi", "[", "z", "]"]], "2"], ",", "z"]], "]"]], "\[Equal]", FractionBox["2", SuperscriptBox["\[Pi]", "3"]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msub> <mi> W </mi> <mi> z </mi> </msub> <mo> ( </mo> <mrow> <msup> <mrow> <mi> Ai </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mn> 2 </mn> </msup> <mo> , </mo> <mrow> <mrow> <mi> Ai </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mrow> <mi> Bi </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> , </mo> <msup> <mrow> <mi> Bi </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mfrac> <mn> 2 </mn> <msup> <mi> &#960; </mi> <mn> 3 </mn> </msup> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <apply> <ci> Subscript </ci> <ci> W </ci> <ci> z </ci> </apply> <apply> <power /> <apply> <ci> AiryAi </ci> <ci> z </ci> </apply> <cn type='integer'> 2 </cn> </apply> <apply> <times /> <apply> <ci> AiryAi </ci> <ci> z </ci> </apply> <apply> <ci> AiryBi </ci> <ci> z </ci> </apply> </apply> <apply> <power /> <apply> <ci> AiryBi </ci> <ci> z </ci> </apply> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <apply> <power /> <pi /> <cn type='integer'> 3 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Wronskian", "[", RowBox[List[SuperscriptBox[RowBox[List["AiryAi", "[", "z_", "]"]], "2"], ",", RowBox[List[RowBox[List["AiryAi", "[", "z_", "]"]], " ", RowBox[List["AiryBi", "[", "z_", "]"]]]], ",", SuperscriptBox[RowBox[List["AiryBi", "[", "z_", "]"]], "2"], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox["2", SuperscriptBox["\[Pi]", "3"]]]]]]


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





2001-10-29