Truncation error for the generalized Bessel type sampling series

DOI10.1016/0016-0032(82)90031-XzbMath0496.65006MaRDI QIDQ1170002

A. J. Jerri, I. A. Joslin

Publication date: 1982

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

zbMATH Keywords

Hankel transformtruncation errorShannon samplinganalysis of optical systems with circular symmetryBessel type sampling series

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Computation of special functions and constants, construction of tables (65D20) Numerical methods for integral transforms (65R10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Application of orthogonal and other special functions (94A11) Numerical summation of series (65B10)

Related Items (3)

Truncation, amplitude, and jitter errors on \(\mathbb R\) for sampling series derivatives ⋮ The convolution product is for exponential kernels transforms. Composition is suggested for other transforms ⋮ On general transforms hill functions

Cites Work

• Unnamed Item
• Application of the sampling theorem to time-varying systems
• The Shannon sampling theorem—Its various extensions and applications: A tutorial review
• On general transforms hill functions
• Sampling Expansions with Derivatives for Finite Hankel and Other Transforms
• A Generalized Sampling Theorem
• Applications of reproducing kernel Hilbert spaces–bandlimited signal models

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