A characterization of multiplier sequences for generalized Laguerre bases
Petter Br\"and\'en, Elin Ottergren
TL;DR
This paper provides a comprehensive characterization of multiplier sequences for generalized Laguerre bases and offers a new proof for Hermite multiplier sequences, advancing understanding in special function analysis.
Contribution
It introduces a complete characterization of multiplier sequences for generalized Laguerre bases and simplifies the proof for Hermite multiplier sequences.
Findings
Complete characterization of Laguerre multiplier sequences
Short proof of Hermite multiplier sequence characterization
Enhanced understanding of special function multiplier sequences
Abstract
We give a complete characterization of multiplier sequences for generalized Laguerre bases. We also apply our methods to give a short proof of the characterization of Hermite multiplier sequences achieved by Piotrowski.
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Taxonomy
TopicsAdvanced Topics in Algebra · Nonlinear Waves and Solitons · Algebraic structures and combinatorial models