On Legendre Multiplier Sequences

Details On Legendre Multiplier Sequences On Legendre Multiplier Sequences

2011-08-23

arxiv.org/abs/1108.4662v1

Mathematics

Complex Variables

12 pages, 5 figures

Scientific paper

In this paper we give a complete characterization of linear, quadratic, and
geometric Legendre multiplier sequences. We also prove that all Legendre
multiplier sequences must be Hermite multiplier sequences, and describe the
relationship between the Legendre and generalized Laguerre multiplier
sequences. We conclude with a list of open questions for further research.

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