Padé tables of entire functions of very slow and smooth growth

DOI10.1007/BF01890041zbMath0596.41031MaRDI QIDQ1078446

Doron S. Lubinsky

Publication date: 1985

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

zbMATH Keywords

Padé table

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 (9)

Uniform convergence of rows of the Padé table for functions with smooth Maclaurin series coefficients ⋮ Padé tables of entire functions of very slow and smooth growth. II ⋮ 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 ⋮ A new method to determine the value or the reality of zeros for certain entire functions ⋮ On the asymptotics of the rows of the Padé table of analytic functions with logarithmic branch points ⋮ When does f(z) have a regular C-fraction expansion or a normal Padé table? ⋮ Rows and diagonals of the Walsh array for entire functions with smooth Maclaurin series coefficients

Cites Work

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• Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley
• Asymptotics of diagonal Hermite-Padé polynomials
• The convergence of ray sequences of Padé approximants of Stieltjes functions
• On recurring theorems on diagonal dominance
• On the nonsingularity of complex matrices
• ON UNIFORM CONVERGENCE OF DIAGONAL PADÉ APPROXIMANTS
• Note on Bounds for Determinants with Dominant Principal Diagonal

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