Multiplier Sequences for Generalized Laguerre Bases
Tam\'as Forg\'acs (California State University, Fresno), Andrzej, Piotrowski (University of Alaska Southeast)
TL;DR
This paper characterizes geometric and linear multiplier sequences for generalized Laguerre bases, advancing understanding of their properties and posing open questions about polynomial multiplier sequences.
Contribution
It provides a complete characterization of certain multiplier sequences for generalized Laguerre bases and introduces open problems in the field.
Findings
Complete characterization of geometric and linear multiplier sequences.
Partial characterization of generic multiplier sequences.
Open questions on polynomial type multiplier sequences.
Abstract
In this paper we present a complete characterization of geometric and linear multiplier sequences for generalized Laguerre bases. In addition, we give a partial characterization of the generic multiplier sequence for such bases, and pose some open questions regarding polynomial type multiplier sequences.
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