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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Citation Formats

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.