Comments on "Asymptotic expansion of a Bessel function integral using hypergeometric functions" by L.J. Landau and N.J. Luswili

Authors:
B. J. Stoyanov
Affiliations:
Applied Physics Laboratory, The Johns Hopkins University, 11100 Johns Hopkins Road, Laurel, MD
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

Citing 4
Cited 0

Asymptotic expansion of a integral involving a Bessel function

Journal of Computational and Applied Mathematics
Asymptotic expansions of integrals of two Bessel functions via the generalized hypergeometric and Meijer functions

ICCAM'92 Proceedings of the fifth international conference on Computational and applied mathematics
Asymptotic expansion of a Bessel function integral using hypergeometric functions

Journal of Computational and Applied Mathematics
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

Quantified Score

Hi-index	7.29

Visualization

Abstract

In a recent paper Landau and Luswili (J. Comput. Appl. Math. 132 (2001) 387) used generalized hypergeometric functions to obtain a complete asymptotic expansion for the integral ∫0π/2Jµ(λsin θ)Jv(λ sin θ) dθ, where Jµ is the µth-order Bessel function of the first kind and λ is a large parameter tending to infinity. The purpose of this note is to point out that the same complete asymptotic expansion for this integral (as well as another one for a Hankel-type integral) has previously been obtained by Stoyanov et al. (J. Comput. Appl. Math. 50 (1994) 533) by using the same method. In addition, an alternative, simpler representation of the algebraic series contribution to the asymptotic expansion is provided. A few errors are also corrected and additional relevant references indicated.