Im[Subscript[z, k]] == 0 && Re[Subscript[z, k]] < 0 /; AiryAi[Subscript[z, k]] == 0

Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[RowBox[List["Im", "[", SubscriptBox["z", "k"], "]"]], "\[Equal]", "0"]], "\[And]", RowBox[List[RowBox[List["Re", "[", SubscriptBox["z", "k"], "]"]], "<", "0"]]]], "/;", RowBox[List[RowBox[List["AiryAi", "[", SubscriptBox["z", "k"], "]"]], "\[Equal]", "0"]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <mrow> <mi> Im </mi> <mo> &#8289; </mo> <mo> ( </mo> <msub> <mi> z </mi> <mi> k </mi> </msub> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mn> 0 </mn> </mrow> <mo> &#8743; </mo> <mrow> <mrow> <mi> Re </mi> <mo> &#8289; </mo> <mo> ( </mo> <msub> <mi> z </mi> <mi> k </mi> </msub> <mo> ) </mo> </mrow> <mo> &lt; </mo> <mn> 0 </mn> </mrow> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> Ai </mi> <mo> &#8289; </mo> <mo> ( </mo> <msub> <mi> z </mi> <mi> k </mi> </msub> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mn> 0 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <and /> <apply> <eq /> <apply> <imaginary /> <apply> <ci> Subscript </ci> <ci> z </ci> <ci> k </ci> </apply> </apply> <cn type='integer'> 0 </cn> </apply> <apply> <lt /> <apply> <real /> <apply> <ci> Subscript </ci> <ci> z </ci> <ci> k </ci> </apply> </apply> <cn type='integer'> 0 </cn> </apply> </apply> <apply> <eq /> <apply> <ci> AiryAi </ci> <apply> <ci> Subscript </ci> <ci> z </ci> <ci> k </ci> </apply> </apply> <cn type='integer'> 0 </cn> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[RowBox[List["Im", "[", SubscriptBox["z", "k"], "]"]], "\[Equal]", "0"]], "&&", RowBox[List[RowBox[List["Re", "[", SubscriptBox["z", "k"], "]"]], "<", "0"]]]], "/;", RowBox[List[RowBox[List["AiryAi", "[", SubscriptBox["z", "k"], "]"]], "\[Equal]", "0"]]]]]]

2001-10-29