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AiryAiZero




Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryAiZero[k] > Primary definition





http://functions.wolfram.com/03.27.02.0001.01









  


  








Input Form





AiryAi[z] == 0 /; z == AiryAiZero[k] && AiryAiZero[k] < AiryAiZero[k + 1] && Element[k, Integers] && k > 0








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["AiryAi", "[", "z", "]"]], "\[Equal]", "0"]], "/;", RowBox[List[RowBox[List["z", "\[Equal]", RowBox[List["AiryAiZero", "[", "k", "]"]]]], "\[And]", RowBox[List[RowBox[List["AiryAiZero", "[", "k", "]"]], "<", RowBox[List["AiryAiZero", "[", RowBox[List["k", "+", "1"]], "]"]]]], "\[And]", RowBox[List["k", "\[Element]", "Integers"]], "\[And]", RowBox[List["k", ">", "0"]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <mi> Ai </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#63449; </mo> <mn> 0 </mn> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> z </mi> <mo> &#63449; </mo> <msub> <mi> ai </mi> <mi> k </mi> </msub> </mrow> <mo> &#8743; </mo> <mrow> <msub> <mi> ai </mi> <mi> k </mi> </msub> <mo> &lt; </mo> <msub> <mi> ai </mi> <mrow> <mi> k </mi> <mo> + </mo> <mn> 1 </mn> </mrow> </msub> </mrow> <mo> &#8743; </mo> <mrow> <mi> k </mi> <mo> &#8712; </mo> <msup> <mi> &#8469; </mi> <mo> + </mo> </msup> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ci> AiryAi </ci> <ci> z </ci> </apply> <cn type='integer'> 0 </cn> </apply> <apply> <and /> <apply> <eq /> <ci> z </ci> <apply> <ci> Subscript </ci> <ci> ai </ci> <ci> k </ci> </apply> </apply> <apply> <lt /> <apply> <ci> Subscript </ci> <ci> ai </ci> <ci> k </ci> </apply> <apply> <ci> Subscript </ci> <ci> ai </ci> <apply> <plus /> <ci> k </ci> <cn type='integer'> 1 </cn> </apply> </apply> </apply> <apply> <in /> <ci> k </ci> <apply> <ci> SuperPlus </ci> <ci> &#8469; </ci> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["AiryAi", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List["0", "/;", RowBox[List[RowBox[List["z", "\[Equal]", RowBox[List["AiryAiZero", "[", "k", "]"]]]], "&&", RowBox[List[RowBox[List["AiryAiZero", "[", "k", "]"]], "<", RowBox[List["AiryAiZero", "[", RowBox[List["k", "+", "1"]], "]"]]]], "&&", RowBox[List["k", "\[Element]", "Integers"]], "&&", RowBox[List["k", ">", "0"]]]]]]]]]]


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





2007-05-02