References
L. Gatteschi, Uniform approximations for the zeros of Laguerre polynomials, Intern. Ser. of Numer. Math., 86 (1988), 137-148.
A. Máté, P. Nevai and V. Totik, Asymptotics for the greatest zeros of orthogonal polynomials, SIAM J. Math. Anal., 17 (1986), 745-751.
A. F. Nikiforov and V. B. Uvarov, Special Functions of Mathematical Physics, Birkhäuser (Basel, 1988).
P. E. Ricci, Improving the asymptotics for the greatest zeros of Hermite polynomials (manuscript).
G. Szegö, Orthogonal Polynomials, Amer. Math. Soc. Coll. Pubbl. Vol. XXIII (Providence, R.I., 1939).
F. G. Tricomi, Funzioni ipergeometriche confluenti, “Consiglio Nazionale delle Ricerche. Monografie Matematiche 1”. Ediz. Cremonese (Roma, 1954).
F. G. Tricomi, Sugli zeri delle funzioni di cui si conosce una rappresentazione asintotica, Annali di Mat., 26 (1947), 283-300.
F. G. Tricomi, Equazioni differenziali, III Ed., Boringhieri (Torino, 1961).
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Noschese, S. Asymptotics for the Greatest Zeros of Szegö's Generalization of the Hermite Polynomials. Acta Mathematica Hungarica 75, 31–42 (1997). https://doi.org/10.1023/A:1006526600355
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DOI: https://doi.org/10.1023/A:1006526600355