On a Functional Differential Equation of Determinantal Type

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dc.creatorBraden, H. W.
dc.creatorByatt-Smith, J. G. B.
dc.date1998-04-17
dc.date.accessioned2026-07-07T05:24:25Z
dc.date.available2026-07-07T05:24:25Z
dc.descriptionWe solve the functional equations $$ \begin{vmatrix} 1 & 1 & 1 f(x) & f(y) & f(z) f\sp{\prime}(x)& f\sp{\prime}(y)& f\sp{\prime}(z) \end{vmatrix} =0,\quad\quad \begin{vmatrix} 1 & 1 & 1 f(x) & g(y) & h(z) \\ f\sp{\prime}(x)& g\sp{\prime}(y)& h\sp{\prime}(z) \end{vmatrix} =0, for suitable functions $f$, $g$ and $h$ subject to $x+y+z=0$. These equations essentially characterise the Weierstrass $\wp$-function and its degenerations. %\quad\quad x+y+z=0. $$
dc.description11 pages LaTex2e
dc.identifierhttps://arxiv.org/abs/math/9804082
dc.identifierhttp://arxiv.org/abs/math/9804082
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76835
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subject39B22, 30D05, 33E05
dc.titleOn a Functional Differential Equation of Determinantal Type
dc.typetext

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