Asymptotic forms for Laguerre polynomials
Author:
Benjamin Muckenhoupt
Journal:
Proc. Amer. Math. Soc. 24 (1970), 288-292
MSC:
Primary 33.40
DOI:
https://doi.org/10.1090/S0002-9939-1970-0251272-9
MathSciNet review:
0251272
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References | Similar Articles | Additional Information
- Richard Askey and Stephen Wainger, Mean convergence of expansions in Laguerre and Hermite series, Amer. J. Math. 87 (1965), 695–708. MR 182834, DOI https://doi.org/10.2307/2373069
- A. Erdélyi, Asymptotic forms for Laguerre polynomials, J. Indian Math. Soc. (N.S.) 24 (1960), 235–250 (1961). MR 123751
- Harold Jeffreys and Bertha Swirles Jeffreys, Methods of mathematical physics, Cambridge, at the University Press, 1956. 3d ed. MR 0074466
- Benjamin Muckenhoupt, Mean convergence of Cesàro means of Laguerre expansions, Harmonic analysis, Contemp. Math., vol. 411, Amer. Math. Soc., Providence, RI, 2006, pp. 79–88. MR 2246643, DOI https://doi.org/10.1090/conm/411/07749 ---, Mean convergence of Hermite and Laguerre series. II, Trans. Amer. Math. Soc. (to appear).
- Gabor Szegö, Orthogonal polynomials, American Mathematical Society Colloquium Publications, Vol. 23, American Mathematical Society, Providence, R.I., 1959. Revised ed. MR 0106295
- G. N. Watson, A treatise on the theory of Bessel functions, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1995. Reprint of the second (1944) edition. MR 1349110
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© Copyright 1970
American Mathematical Society