Uniform convergence of rows of the Padé table for functions with smooth Maclaurin series coefficients

DOI10.1007/BF01890573zbMath0621.41010MaRDI QIDQ1089851

Doron S. Lubinsky

Publication date: 1987

Published in: Constructive Approximation (Search for Journal in Brave)

zbMATH Keywords

Mittag-Leffler functionsToeplitz determinantspower series coefficientsPadé tablePadé approximators

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Padé approximation (41A21) Moment problems and interpolation problems in the complex plane (30E05)

Related Items

Padé-type approximants of entire functions and acceleration of convergence: Two examples, Convergence of Padé approximants of partial theta functions and the Rogers-Szegö polynomials, A note on the limiting distribution of the zeros of Padé approximants for some classes of functions, Padé tables of entire functions of very slow and smooth growth. II, Distribution of eigenvalues of Toeplitz matrices with smooth entries, On the asymptotics of the rows of the Padé table of analytic functions with logarithmic branch points, On eigenvalue distribution of varying Hankel and Toeplitz matrices with entries of power growth or decay, Rows and diagonals of the Walsh array for entire functions with smooth Maclaurin series coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Padé-type approximation and general orthogonal polynomials
• A Montessus de Ballore theorem for multivariate Padé approximants
• Padé tables of entire functions of very slow and smooth growth
• Convergence of Padé approximants of partial theta functions and the Rogers-Szegö polynomials
• The Padé tables of entire functions
• On non-diagonal Padé approximants
• Convergence of rows of the Padé table
• Angular distribution of the zeros of Padé polynomials
• Zeros of sections of power series
• An extension of Montessus de Ballore's theorem on the convergence of interpolating rational functions
• ON CONVERGENCE OF SUBSEQUENCES OF THEmTH ROW OF A PADÉ TABLE
• Pade Tables of a Class of Entire Functions
• Best Rational Approximations of Entire Functions Whose Maclaurin Series Coefficients Decrease Rapidly and Smoothly
• ASYMPTOTICS OF HADAMARD DETERMINANTS AND THE CONVERGENCE OF ROWS OF PADÉ APPROXIMANTS FOR SUMS OF EXPONENTIALS
• On the Row Convergence of the Walsh Array for Meromorphic Functions