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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Printed edition: |

Material Type: | Bibliographic data, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Annie Cuyt |

ISBN: | 9789400929012 9400929013 9789401078078 9401078076 |

OCLC Number: | 840305055 |

Description: | 1 online resource (480 pages). |

Contents: | Padé approximation and Rational interpolation -- Integral approximants for functions of higher monodromic dimension -- Asymptotics of Hermite-Padé Polynomials and related convergence results -- Rational approximation -- On the behavior of zeros and poles of best uniform polynomial and rational approximants -- Once again: the Adamjan-Arov-Krein approximation theory -- Diagonal Padé approximants, rational Chebyshev approximants and poles of functions -- On the use of the Carathéodory-Féjer method for investigating'1/9' and similar constants -- Multidimensional and Multivariate problems -- Simultaneous rational approximation to some q-hypergeometric functions -- Minimal Padé-sense matrix approximations around s = 0 and s =? -- (Padé)y of (Padé)x approximants of F(x, y) -- Different techniques for the construction of multivariate rational interpolants -- Rational approximants of hypergeometric series in?n -- Orthogonal polynomials and the Moment problem -- Some orthogonal systems of p+1Fp-type Laurent polynomials -- The moment problem on equipotential curves -- Difference equations, continued fractions, Jacobi matrices and orthogonal polynomials -- Multipoint Padé approximation and orthogonal rational functions -- L-Polynomials orthogonal on the unit circle -- Continued fractions -- Schur's algorithm extended and Schur continued fractions -- Some recent results in the analytic theory of continued fractions -- Best a posteriori truncation error estimates for continued fractions if (an/1) with twin element regions -- Convergence acceleration for Miller's algorithm -- Convergence acceleration -- A new approach to convergence acceleration methods -- Applications -- General T-fraction solutions to Riccati differential equations -- A simple alternative principle for rational? -- method approximation -- Evaluation of Fermi-Dirac integral -- An application of operator Padé approximants to multireggeon processes. |

Series Title: | Mathematics and Its Applications ;, 43. |

Responsibility: | edited by Annie Cuyt. |

### Abstract:

Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics;
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