The determination of solutions of linear differential equations with entire coefficients from their zeros

This thesis starts from the following observation; if v;w are solutions of y" + Py = 0 where P is entire, and v and w are both 0 at z0 ε C, then W(v,w) = vw' - v'w ≡ 0 and v,w are linearly dependent. It is then natural to ask what happens if v;w solve different equations, but have (mo...

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Bibliographic Details
Main Author: Asiri, Asim Mohammad Khalid
Published: University of Nottingham 2012
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.559667