Approximation of analytic functions by Laguerre functions

DOI10.1016/j.amc.2011.01.086zbMath1231.41017OpenAlexW1964053003MaRDI QIDQ648211

Jung, Soon-Mo

Publication date: 22 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.086

zbMATH Keywords

analytic functionapproximationpower series methodLaguerre differential equationLaguerre function

Mathematics Subject Classification ID

Approximation by other special function classes (41A30)

Related Items (5)

An approximation property of simple harmonic functions ⋮ Power series method and approximate linear differential equations of second order ⋮ Hyers-Ulam stability of associated Laguerre differential equations in a subclass of analytic functions ⋮ Hyers-Ulam stability of hypergeometric differential equations ⋮ Remarks on the Hyers-Ulam stability of some systems of functional equations

Cites Work

• Approximation of analytic functions by Legendre functions
• Approximation of analytic functions by Hermite functions
• Legendre's differential equation and its Hyers-Ulam stability
• Approximation of analytic functions by Airy functions
• On the Stability of the Linear Mapping in Banach Spaces
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• On the Stability of the Linear Functional Equation
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