analytic in a neighborhood of infinity will be approximated by Pade approximants. In a first group of results rather strong assumptions are made about the singularities of the function f to be approximated (Assumption 1.1). In a second group (Definition 1.3 and Theorem 1.7) a different type of assum
✦ LIBER ✦
On the asymptotics of the rows of the Padé table of analytic functions with logarithmic branch points
✍ Scribed by A. P. Starovoitov; N. A. Starovoitova
- Book ID
- 110149394
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2008
- Tongue
- English
- Weight
- 785 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
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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 limi