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Mean convergence of Hermite and Laguerre series. I, II. (English) Zbl 0191.07602


MSC:

41Axx Approximations and expansions
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References:

[1] Richard Askey and Stephen Wainger, Mean convergence of expansions in Laguerre and Hermite series, Amer. J. Math. 87 (1965), 695 – 708. · Zbl 0125.31301
[2] A. Erdélyi, Asymptotic solutions of differential equations with transition points or singularities, J. Mathematical Phys. 1 (1960), 16 – 26. · Zbl 0125.04802
[3] A. Erdélyi, Asymptotic forms for Laguerre polynomials, J. Indian Math. Soc. (N.S.) 24 (1960), 235 – 250 (1961). · Zbl 0105.05401
[4] Harry Pollard, The mean convergence of orthogonal series. II, Trans. Amer. Math. Soc. 63 (1948), 355 – 367. · Zbl 0032.40601
[5] Gabor Szegö, Orthogonal polynomials, American Mathematical Society Colloquium Publications, Vol. 23. Revised ed, American Mathematical Society, Providence, R.I., 1959. · Zbl 0305.42011
[6] A. Zygmund, Trigonometric series: Vols. I, II, Second edition, reprinted with corrections and some additions, Cambridge University Press, London-New York, 1968.
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