Gabutti, B.; Minetti, B. A new application of the discrete Laguerre polynomials in the numerical evaluation of the Hankel transform of a strongly decreasing even function. (English) Zbl 0467.65068 J. Comput. Phys. 42, 277-287 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 Documents MSC: 65R10 Numerical methods for integral transforms 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics 44A15 Special integral transforms (Legendre, Hilbert, etc.) 44A20 Integral transforms of special functions Keywords:scattering problem of intermediate-energy nuclear particles; Hankel transform; series of discrete Laguerre polynomials PDFBibTeX XMLCite \textit{B. Gabutti} and \textit{B. Minetti}, J. Comput. Phys. 42, 277--287 (1981; Zbl 0467.65068) Full Text: DOI Digital Library of Mathematical Functions: Hankel Transform ‣ §10.74(vii) Integrals ‣ §10.74 Methods of Computation ‣ Computation ‣ Chapter 10 Bessel Functions References: [1] Forsythe, G. E., J. Soc. Ind. Appl. Math., 5, 74 (1957) [2] Frhan, W. E.; Schurmann, B., Ann. Phys., 84, 147 (1974) [3] Gabutti, B., Math. Comput., 33, 1049 (1979) [4] Glauber, R. J., (Britting, W. E.; Dunham, L. G., Lectures in Theoretical Physics, Vol. 1 (1959), Interscienee: Interscienee New York) [5] Gottlieb, J. M., Amer. J. Math., 60, 453 (1938) [6] Gradshteyn, J. S.; Ryzhik, I. M., Table of Integrals Series and Products, ((1965), Academic Press: Academic Press New York/London), 847 [7] Handelsman, R. A.; Bleistein, N., SIAM J. Math. Anal., 4, 519 (1973) [8] Luke, Y. L., (The Special Functions and Their Approximations, Vol. II (1969), Academic Press: Academic Press New York/London) [9] Malecki, A.; Namislowski, J. M.; Reale, A.; Minetti, B., Nuovo Cimento, 10, 1 (1978) [10] Muki, R., SIAM J. Math. Anal., 3, 285 (1972) [11] Soni, K.; Soni, P., SIAM J. Math. Anal., 4, 466 (1973) [12] Tricomi, F. G.; Erdeli, A., Pac. J. Math., 1, 133 (1951) [13] Wong, R., SIAM J. Math. Anal., 7, 799 (1976) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.