Asymptotic Chebyshev coefficients for two functions with very rapidly or very slowly divergent power series about one endpoint
From MaRDI portal
Publication:1921152
DOI10.1016/0893-9659(96)00003-1zbMath0857.42015OpenAlexW2087738476MaRDI QIDQ1921152
Publication date: 12 March 1997
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0893-9659(96)00003-1
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
Related Items (4)
The Fourier transform of the quartic Gaussian \(\exp(-Ax^4)\): hypergeometric functions, power series, steepest descent asymptotics and hyperasymptotics and extensions to \(\exp(-Ax^{2 n})\) ⋮ Asymptotic Fourier coefficients for a \(C^\infty\) bell (smoothed-``top-hat) \& the Fourier extension problem ⋮ A new constructive and elementary proof of a Bernstein-Walsh theorem, improved to infinite order convergence, for functions \(C^\infty\) in an intricate but smooth two-dimensional real domain ⋮ Large-degree asymptotics and exponential asymptotics for Fourier, Chebyshev and Hermite coefficients and Fourier transforms
Cites Work
- A Chebyshev Polynomial Rate-of-Convergence Theorem for Stieltjes Functions
- The Rate of Convergence of Chebyshev Polynomials for Functions Which Have Asymptotic Power Series About One Endpoint
- Stokes’s phenomenon for superfactorial asymptotic series
- On the Convergence of the Chebyshev Series for Functions Possessing a Singularity in the Range of Representation
- Asymptotic Estimates of Fourier Coefficients
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Asymptotic Chebyshev coefficients for two functions with very rapidly or very slowly divergent power series about one endpoint
