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- W2896237536 abstract "The Sobolev-Laguerre polynomials form an orthogonal polynomial system with respect to a Sobolev-type inner product associated with the Laguerre measure on the positive half-axis and two point masses $M,N > 0$ at the origin involving functions and derivatives. These polynomials have attracted much interest over the last two decades, since they became known to satisfy, for any value of the Laguerre parameter $alphainmathbb{N}_{0}$, a spectral differential equation of finite order $4alpha+10$. In this paper we establish a new explicit representation of the corresponding differential operator which consists of a number of elementary components depending on $alpha,M,N$. Their interaction reveals a rich structure both being useful for applications and as a model for further investigations in the field. In particular, the Sobolev-Laguerre differential operator is shown to be symmetric with respect to the inner product." @default.
- W2896237536 created "2018-10-26" @default.
- W2896237536 creator A5040247763 @default.
- W2896237536 date "2018-10-15" @default.
- W2896237536 modified "2023-09-27" @default.
- W2896237536 title "On the differential equation for the Sobolev-Laguerre polynomials" @default.
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- W2896237536 hasPublicationYear "2018" @default.
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