𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The uniform convergence of subsequences of the last intermediate row of the Padé table

✍ Scribed by Victor M. Adukov

Book ID
104142837
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
423 KB
Volume
122
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.

✦ Synopsis

In the work the uniform convergence of rows of the Pade´approximants for a meromorphic function aðzÞ is studied. The complete description of the asymptotic behavior of denominators Q n ðzÞ of the Pade´approximants is obtained for the ðl À 1Þth row. Here l is the number of the poles of aðzÞ: The limits of all convergent subsequences of fQ n ðzÞg are explicitly computed. These limits form a family of polynomials which is parametrized by a monothetic subgroup F of the torus T n : The group F is constructed via the arguments Y 1 ; y; Y n of those poles of aðzÞ of the maximal modulus that have the maximal multiplicity.

📜 SIMILAR VOLUMES

The convergence of diagonal Padé approxi
The convergence of diagonal Padé approximants and the Padé Conjecture
✍ Herbert Stahl 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 695 KB

Questions related to the convergence problem of diagonal Pad6 approximants are discussed. A central place is taken by the Pad6 Conjecture (also known as the Baker-Gammel-Wills Conjecture). Partial results concerning this conjecture are reviewed and weaker and more special versions of the conjecture