Distribution of the zeros of Padé polynomials and analytic continuation

Article Properties
  • Language
    Russian
  • DOI (url)
    10.4213/rm9675
  • Publication Date
    2015/01/01
  • Journal
    Uspekhi Matematicheskikh Nauk
  • Indian UGC (journal)
  • Refrences
    191
  • Citations
    36
  • Sergey Pavlovich Suetin Steklov Mathematical Institute of Russian Academy of Sciences ORCID
Abstract
Refrences
Title Journal Journal Categories Citations Publication Date
On continued fractions and diophantine approximation in power series fields Acta Arithmetica
  • Science: Mathematics
 78 2000
Asymptotics of Hermite-Padé polynomials and related convergence results - a summary of results 1988
Padé approximation and the Riemann monodromy problem 1980
Sets of minimum capacity, Padé approximants and the bubble problem 1980
О задачах равновесия, связанных с распределением нулей полиномов Эрмита-Паде 2015
Citations
Title Journal Journal Categories Citations Publication Date
Asymptotic behaviour of the information entropy of hydrogen-like quantum systems Russian Mathematical Surveys
  • Science: Mathematics
 1 2018
Continued fractions with limit periodic coefficients Sbornik: Mathematics
  • Science: Mathematics
 2018
Exact interpolation, spurious poles, and uniform convergence of multipoint Padé approximants Sbornik: Mathematics
  • Science: Mathematics
 2018
On Singular Points of Meromorphic Functions Determined by Continued Fractions Mathematical Notes
  • Science: Mathematics
 2018
On the Supports of Vector Equilibrium Measures in the Angelesco Problem with Nested Intervals Proceedings of the Steklov Institute of Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2018
Citations Analysis
Category Category Repetition
Science: Mathematics19
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods8
The category Science: Mathematics 19 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled The capacity of the rational preimage of a compact set and was published in 2016. The most recent citation comes from a 2018 study titled The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann-Hilbert problem, and some applications. This article reached its peak citation in 2018, with 15 citations. It has been cited in 8 different journals. Among related journals, the Uspekhi Matematicheskikh Nauk cited this research the most, with 8 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year