Asymptotics and bounds for the zeros of Laguerre polynomials: a survey

[1]  Bruno Gabutti,et al.  New Asymptotics for the Zeros of Whittaker's Functions , 2004, Numerical Algorithms.

[2]  Roderick Wong,et al.  Asymptotic approximations of integrals , 1989, Classics in applied mathematics.

[3]  N. Temme,et al.  Approximations of orthogonal polynomials in terms of Hermite polynomials , 1999 .

[4]  A new asymptotic form for the Laguerre polynomials , 1992 .

[5]  Xin Li,et al.  Bound on the extreme zeros of orthogonal polynomials , 1992 .

[6]  Nico M. Temme,et al.  Asymptotic estimates for Laguerre polynomials , 1990 .

[7]  T. Mark Dunster,et al.  Uniform asymptotic expansions for Whittaker's confluent hypergeometric functions , 1989 .

[8]  Roderick Wong,et al.  Uniform Asymptotic Expansions of Laguerre Polynomials , 1988 .

[9]  Luigi Gatteschi Uniform Approximations for the Zeros of Laguerre Polynomials , 1988 .

[10]  F. W. J. Olver,et al.  Whittaker functions with both parameters large: uniform approximations in terms of parabolic cylinder functions , 1980, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

[11]  Asymptotic behaviour of the zeros of the (generalized) Laguerre polynomialLnα(x) as the Index α → ∞ and limiting formula relating Laguerre polynomials of large index and large argument to hermite polynomials , 1978 .

[12]  F. Olver Asymptotics and Special Functions , 1974 .

[13]  David M. Miller,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[14]  R. P. Soni,et al.  Formulas and Theorems for the Special Functions of Mathematical Physics , 1967 .

[15]  F. Tricomi,et al.  Sul comportamento asintotico dei polinomi di Laguerre , 1949 .

[16]  F. Tricomi Sul comportamento asintotico dell’n-esimo polinomio di Laguerre nell’ intorno dell’ascissa 4n , 1949 .

[17]  F. Tricomi,et al.  Sugli zeri delle funzioni di cui si conosce una rappresentazione asintotica , 1947 .