Padé tables of entire functions of very slow and smooth growth. II

DOI10.1007/BF02075465zbMath0663.41021OpenAlexW4241849047MaRDI QIDQ1114100

Doron S. Lubinsky

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf02075465

zbMATH Keywords

diagonal Padé approximantssmooth Taylor series

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Padé approximation (41A21) Rate of convergence, degree of approximation (41A25)

Related Items (10)

Padé-type approximants of entire functions and acceleration of convergence: Two examples ⋮ Reflections on the Baker–Gammel–Wills (Padé) Conjecture ⋮ Distribution of eigenvalues of Toeplitz matrices with smooth entries ⋮ Padé approximants to certain elliptic-type functions ⋮ Acceleration of convergence of general linear sequences by the Shanks transformation ⋮ On uniform convergence of diagonal multipoint Padé approximants for entire functions ⋮ Best Rational Approximations of Entire Functions Whose Maclaurin Series Coefficients Decrease Rapidly and Smoothly ⋮ 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

• Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley
• Padé tables of entire functions of very slow and smooth growth
• Toeplitz matrix techniques and convergence of complex weight Padé approximants
• Uniform convergence of rows of the Padé table for functions with smooth Maclaurin series coefficients
• Convergence of Padé approximants of partial theta functions and the Rogers-Szegö polynomials
• Pade Tables of a Class of Entire Functions
• Best Rational Approximations of Entire Functions Whose Maclaurin Series Coefficients Decrease Rapidly and Smoothly
• Note on Bounds for Determinants with Dominant Principal Diagonal
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