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» Linear Differential Operators for Polynomial Equations
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JSC
2002
42views more  JSC 2002»
13 years 5 months ago
Linear Differential Operators for Polynomial Equations
Olivier Cormier, Michael F. Singer, Barry M. Trage...
SIAMCO
2000
99views more  SIAMCO 2000»
13 years 5 months ago
Spectral Analysis of Fokker--Planck and Related Operators Arising From Linear Stochastic Differential Equations
We study spectral properties of certain families of linear second-order differential operators arising from linear stochastic differential equations. We construct a basis in the Hi...
Daniel Liberzon, Roger W. Brockett
JSC
2010
82views more  JSC 2010»
13 years 2 days ago
Linear complete differential resultants and the implicitization of linear DPPEs
The linear complete differential resultant of a finite set of linear ordinary differential polynomials is defined. We study the computation by linear complete differential resulta...
Sonia L. Rueda, J. Rafael Sendra
JAT
2008
56views more  JAT 2008»
13 years 5 months ago
Some examples of orthogonal matrix polynomials satisfying odd order differential equations
It is well known that if a finite order linear differential operator with polynomial coefficients has as eigenfunctions a sequence of orthogonal polynomials with respect to a posi...
Antonio J. Durán Guardeño, Manuel D....
DM
2000
127views more  DM 2000»
13 years 5 months ago
Special formal series solutions of linear operator equations
The transformation which assigns to a linear operator L the recurrence satisfied by coefficient sequences of the polynomial series in its kernel, is shown to be an isomorphism of ...
Sergei A. Abramov, Marko Petkovsek, Anna A. Ryaben...