Two series representations of the integral \(\int_ 0^\infty \exp[- s(\psi + y \cos\psi - z \sin\psi)] d\psi\)

DOI10.1016/0021-9991(81)90059-0zbMath0485.65015OpenAlexW1974226691MaRDI QIDQ1164370

Richard John Cole

Publication date: 1981

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(81)90059-0

zbMATH Keywords

series representationsBessel functionsKapteyn seriesintegrals of exponential typequadrature routines

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Uses Software

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Cites Work

• A method for predicting the stability characteristics of three-term homogeneous recurrence relations
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