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Asymptotics of generalized jacobi polynomials (1986)

Nuttall, J.

Springer

Constructive approximation 2 (1986), S. 59-77

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ISSN: 1432-0940

Keywords: 41A21 ; 33A65 ; Padé approximant ; Orthogonal polynomial ; Hermite-Padé polynomial ; Laguerre-Hahn polynomial ; Liouville-Green approximation

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Polynomialsp 1,(z),p 2 (z), of degreen are defined by the relation $$p_1 (z) + p_2 (z)\prod\nolimits_{i = 1}^3 {(z - b_l )^{v_1 } } = O(z^{ - n - 1} ),z \to \infty $$ , where $$\sum\nolimits_{i = 1}^3 {v_i = 0} $$ . We obtain the asymptotic behavior of these polynomials asn→∞ and show that it agrees with a previous conjecture.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01893417

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