On a Class of Fredholm Integral Operators—Asymptotic Expansions of Solutions and Eigenfunctions

DOI10.1137/0149038zbMath0673.45001OpenAlexW2026995866MaRDI QIDQ3827056

A. K. Gautesen

Publication date: 1989

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0149038

zbMATH Keywords

asymptotic solutionseigenvalueseigenfunctionsasymptotic expansionsmodified Bessel functiondifference kernelHankel functionFredholm integral equation of the second kind with a symmetricFredholm integral equation of the second kind with a symmetric difference kernel

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Fredholm integral equations (45B05) Eigenvalue problems for integral equations (45C05)

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