Evaluation of first-order Hankel transforms using Filon quadrature philosophy

Applied Mathematics Letters

Volumn 11, Issue 1, 1998, Pages 127-131

  Barakat, R ^a,b   Sandler, B H ^a  

^a HARVARD UNIVERSITY   (United States)

^b TUFTS UNIVERSITY   (United States)

Author keywords

Hankel transforms; Numerical integration; Oscillatory integrals

Indexed keywords

EID: 0042860066     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(97)00145-6     Document Type: Article

References (5)

1. R. Barakat and E. Parshall, Numerical evaluation of the zero-order Hankel transforms using Filon quadrature philosophy, Appl. Math. Lett. 9 (5), 21-26 (1996).
2. T. Havie, Remarks on an expansion for integrals of rapidly oscillating functions, BIT, 16-29 (1973).
3. J. Mason, Cyclindrical Bessel functions for a large range of complex arguments, Comput. Phys. Commun. 30, 1-11 (1983).
4. I. Gradshteyn and I. Ryzhik, Tables of Integrals, Series and Products, p. 688, entry 9, Academic, New York, (1965).
5. Y. Luke, Mathematical Functions and Their Approximations, Academic, New York, (1975).