Abstract
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.
Citation
Kelly Blakeman. Emily Davis. Tamás Forgács. Katherine Urabe. "On Legendre Multiplier Sequences." Missouri J. Math. Sci. 24 (1) 7 - 23, May 2012. https://doi.org/10.35834/mjms/1337950496
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