On constructing new expansions of functions using linear operators

DOI10.1016/J.CAM.2009.12.030zbMath1186.42019OpenAlexW1970332932MaRDI QIDQ964958

Mohammad Masjed-Jamei

Publication date: 21 April 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.12.030

zbMATH Keywords

functional equationslinear operatorsfinite approximationsinverse Laplace transformsmixed Taylor expansionsmixed Taylor-Fourier and mixed orthogonal polynomial expansions

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Fourier series and coefficients in several variables (42B05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Other transformations of harmonic type (42C20)

Related Items (4)

A new type of Taylor series expansion ⋮ Some expansions of functions based upon two sequences of hypergeometric polynomials ⋮ Unnamed Item ⋮ An extension of the Taylor series expansion by using the Bell polynomials

Cites Work

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• A Regularization Method for the Numerical Inversion of the Laplace Transform
• Three Finite Classes of Hypergeometric Orthogonal Polynomials and Their Application in Functions Approximation
• Classical orthogonal polynomials with weight function ((ax + b)² + (cx + d)²)^−pexp(qArctg((ax + b)/(cx + d))),x ∈ (−∞, ∞) and a generalization of T and F distributions
• An Iterative Method for the Numerical Inversion of Laplace Transforms
• Laplace transform inversions using optimal contours in the complex plane
• Fourier method for Laplace transform inversion

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