Abstract
By applying well-known techniques such as the Gershgorin Circle Theorem and the Euler-Rayleigh method (the latter assisted by some computer algebra), we obtain new bounds for the extreme zeroes of the n-th Laguerre polynomial. It turns out that these bounds are competitive to some of the known best bounds.
Supported by the Bulgarian National Research Fund under Contract DN 02/14 and by the Sofia University Research Fund under Contract 80-10-139/2018.
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Nikolov, G., Uluchev, R. (2019). Bounds for the Extreme Zeros of Laguerre Polynomials. In: Nikolov, G., Kolkovska, N., Georgiev, K. (eds) Numerical Methods and Applications. NMA 2018. Lecture Notes in Computer Science(), vol 11189. Springer, Cham. https://doi.org/10.1007/978-3-030-10692-8_27
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DOI: https://doi.org/10.1007/978-3-030-10692-8_27
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