Some integrals involving three Bessel functions when their arguments satisfy the triangle inequalities
- 1 November 1984
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 25 (11) , 3350-3356
- https://doi.org/10.1063/1.526062
Abstract
We calculate definite integrals involving three Bessel functions of the form ∫∞0xJμ(ax)Jν(bx) Jμ+ν(cx)dx and ∫∞0xYμ(ax)Jν(bx) Jμ+ν(cx)dx, which appeared in some absorption calculations. Results are given for all relative positions of lengths a, b, c. They complete formulas outside the triangle case and correct some misprints given in tables.Keywords
This publication has 4 references indexed in Scilit:
- Explicit Integral Transform Proofs of Some Transplantation Theorems for the Hankel TransformSIAM Journal on Mathematical Analysis, 1973
- Regge Cuts, Absorption Model, and Diffractive Effects in Inelastic ScatteringPhysical Review B, 1969
- A phenomenological analysis of high-energy data in πN and KN systems: Shadow scattering and Regge singularitiessystems: Shadow scattering and Regge singularitiesIl Nuovo Cimento A (1971-1996), 1967
- INTEGRALS FOR THE PRODUCT OF TWO BESSEL FUNCTIONSThe Quarterly Journal of Mathematics, 1933