V. L. Sousa

most citedOn a conjecture of A. Magnus concerning the asymptotic behavior of the recurrence coefficients of the generalized Jacobi polynomials

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.CA2009★ 1 cited

On a conjecture of A. Magnus concerning the asymptotic behavior of the recurrence coefficients of the generalized Jacobi polynomials

A. Foulquie Moreno, A. Martinez-Finkelshtein, V. L. Sousa

In 1995 Magnus posed a conjecture about the asymptotics of the recurrence coefficients of orthogonal polynomials with respect to the weights on [-1,1] of the form $$ (1-x)^α(1+x)^β…

math.CA2009

Asymptotics of orthogonal polynomials for a weight with a jump on [-1,1]

A. Foulquie Moreno, A. Martinez-Finkelshtein, V. L. Sousa

We consider the orthogonal polynomials on $[- 1, 1]$ with respect to the weight $w_{c} (x) = h (x) (1 - x)^{α} (1 + x)^{β} Ξ_{c} (x), α, β > - 1,$ where $h$ is real analytic and strictly posit…