A technique for developing complete orthonormal basis sets using general solutions of Bessel's differential equation

DOI10.1016/0096-3003(93)90024-9zbMath0774.65063OpenAlexW2001656334WikidataQ115363938 ScholiaQ115363938MaRDI QIDQ2365622

D. Reuster, Mary Kaye

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1016/0096-3003(93)90024-9

zbMATH Keywords

eigenvalueseigenfunctionsorthonormal basisboundary value problemBessel functionsBessel's differential equation

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Cites Work

• Numerical evaluation of the confluent hypergeometric function for complex arguments of large magnitudes
• Some new characterizations of the Chebyshev polynomials
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