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ON THE NUMERICAL EVALUATION OF AN OSCILLATING INFINITE SERIES-III
Date
1990-01-01
Author
Tezer, Münevver
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An oscillating infinite series involving product of Bessel function J o(x) and an oscillating infinite series involving trigonometric function sin(x) were evaluated and computed numerically in [1] and [2] respectively. In this paper, an oscillating infinite series involving product of exponential, Bessel and trigonometric functions is evaluated. The series is transformed first into the sum of two infinite integrals by using contour integration and then the infinite integral with oscillating integrand is transformed through some identities into a finite integral containing modified Bessel function K 1(x). Finally, theset two integrals are evaluated numerically without any computational difficulties at all.
Subject Keywords
Computational Theory and Mathematics
,
Applied Mathematics
,
Computer Science Applications
URI
https://hdl.handle.net/11511/40842
Journal
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
DOI
https://doi.org/10.1080/00207169008803898
Collections
Department of Mathematics, Article
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M. Tezer, “ON THE NUMERICAL EVALUATION OF AN OSCILLATING INFINITE SERIES-III,”
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
, pp. 175–183, 1990, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40842.