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math.CA2004
Convergent Asymptotic Expansions of Charlier, Laguerre and Jacobi Polynomials
José L. López, Nico M. Temme
Convergent expansions are derived for three types of orthogonal polynomials: Charlier, Laguerre and Jacobi. The expansions have asymptotic properties for large values of the degree…
math.CA2004
Multi-point Taylor Expansions of Analytic Functions
José L. López, Nico M. Temme
Taylor expansions of analytic functions are considered with respect to several points, allowing confluence of any of them. Cauchy-type formulas are given for coefficients and remai…