Polynomial sequences associated with the classical linear functionals

Polynomial sequences associated with the classical linear functionals

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Article ID: iaor20123953
Volume: 60
Issue: 2
Start Page Number: 297
End Page Number: 314
Publication Date: Jun 2012
Journal: Numerical Algorithms
Authors: ,
Keywords: duality, sequencing
Abstract:

This work in mainly devoted to the study of polynomial sequences, not necessarily orthogonal, defined by integral powers of certain first order differential operators in deep connection to the classical polynomials of Hermite, Laguerre, Bessel and Jacobi. This connection is streamed from the canonical element of their dual sequences. Meanwhile new Rodrigues‐type formulas for the Hermite and Bessel polynomials are achieved.

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