Abstract
We show that the results of Love and Hunter can be reformulated to obtain convergence results at the endpoints of the interval -1 ≤ x ≤ 1.
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References
E. R. Love and M.N. Hunter, Expansions in series of Legendre functions, Proc. London Math. Soc. 64(1992), 579–601.
E.R. Love, Abel summability of certain Legendre series, Proc. London Math. Soc. 69(1994), 629–672.
A. Erdelyi, W. Magnus, F. Oberhettinger and F.G. Tricomi, Higher Transcendental Functions, vol. 1, Bateman Manuscript Project, McGraw Hill, 1953.
E. R. Love and M.N. Hunter, Expansions in series of Legendre functions, Chapter 5 in this volume.
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© 1999 Birkhäuser Boston
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Pinsky, M.A. (1999). Endpoint convergence of Legendre series. In: Bray, W.O., Stanojević, Č.V. (eds) Analysis of Divergence. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2236-1_7
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DOI: https://doi.org/10.1007/978-1-4612-2236-1_7
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-7467-4
Online ISBN: 978-1-4612-2236-1
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