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- W4385436863 abstract "The aim of the work is to construct new polynomial systems, which are solutions to certain functional equations which generalize the second-order differential equations satisfied by the so called classical orthogonal polynomial families of Jacobi, Laguerre, Hermite and Bessel. These functional equations can be chosen to be of different type: fractional differential equations, q-difference equations, etc, which converge to their respective differential equations of the aforesaid classical orthogonal polynomials. In addition to this, there exists a confluence of both the families of polynomials constructed and the functional equations who approach to the classical families of polynomials and second-order differential equations, respectively" @default.
- W4385436863 created "2023-08-01" @default.
- W4385436863 creator A5042411640 @default.
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- W4385436863 date "2023-07-28" @default.
- W4385436863 modified "2023-09-25" @default.
- W4385436863 title "On a moment generalization of some classical second-order differential equations generating classical orthogonal polynomials" @default.
- W4385436863 doi "https://doi.org/10.48550/arxiv.2307.15415" @default.
- W4385436863 hasPublicationYear "2023" @default.
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