Simultaneous Rational Approximants for a Pair of Functions with Smooth Maclaurin Series Coefficients

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Automatic asymptotics for coefficients of smooth, bivariate rational functions

We consider a bivariate rational generating function F (x, y) = P (x, y) Q(x, y) = ∑ r,s≥0 arsx y under the assumption that the complex algebraic curve V on which Q vanishes is smooth. Formulae for the asymptotics of the coefficients {ars} are derived in [PW02]. These formulae are in terms of algebraic and topological invariants of V, but up to now these invariants could be computed only under ...

متن کامل

Identification of Initial Taylor-Maclaurin Coefficients for Generalized Subclasses of Bi-Univalent Functions

In the present work, the author determines some coefficient bounds for functions in a new class of analytic and bi-univalent functions, which are introduced by using of polylogarithmic functions. The presented results in this paper one the generalization of the recent works of Srivastava et al. [26], Frasin and Aouf [13] and Siregar and Darus [25].

متن کامل

A new summation method for power series with rational coefficients

We show that an asymptotic summation method, recently proposed by the authors, can be conveniently applied to slowly convergent power series whose coefficients are rational functions of the summation index. Several numerical examples are presented. 1. Asymptotic summation Consider a power series ∞ ∑

متن کامل

Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope

Velleda Baldoni, Nicole Berline, Michèle Vergne. Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope. Matthias Beck, Christian Haase, Bruce Reznick, Michèle Vergne, Volkmar Welker and Ruriko Yoshida. Integer Points in Polyhedra-Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics, American Mathematical Society, pp.1...

متن کامل

Convergence in Capacity of Rational Approximants of Meromorphic Functions

Let f be meromorphic on the compact set E ⊂ C with maximal Green domain of meromorphy Eρ(f), ρ(f) < ∞. We investigate rational approximants with numerator degree 6 n and denominator degree 6 mn for f . We show that the geometric convergence rate on E implies convergence in capacity outside E if mn = o(n) as n → ∞. Further, we show that the condition is sharp and that the convergence in capacity...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Approximation Theory

سال: 1995

ISSN: 0021-9045

DOI: 10.1006/jath.1995.1123