Evaluation of integrals of Howland type involving a Bessel function-Reference-Cited by-同舟云学术

Evaluation of integrals of Howland type involving a Bessel function

Published:1982 Issue:157 Volume:38 Page:215-222
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Ling Chih Bing,Wu Ming Jing

Abstract

This paper presents a method of evaluation of four integrals of Howland type, which involve a Bessel function in the integrands. With the aid of tabulated values, they are evaluated to 10D. Two of the four Howland integrals needed in the evaluation are evaluated anew to 20D in order to provide adequate accuracy.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1982-38-157/S0025-5718-1982-0637299-X/S0025-5718-1982-0637299-X.pdf

Reference8 articles.

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2. J. W. L. Glaisher, “Tables of 1±2⁻ⁿ+3⁻ⁿ±4⁻ⁿ+𝑒𝑡𝑐., etc. to 32 places of decimals,” Quart. J. Math., v. 45, 1914, pp. 141-158.

3. K. Knopp, Infinite Series, Hafner, New York, 1947.

4. Tables of values of 16 integrals of algebraic-hyperbolic type;Ling, Chih-Bing;Math. Tables Aids Comput.,1957

5. Further evaluation of Howland integrals;Ling, Chih Bing;Math. Comp.,1978

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