TY - JOUR
T1 - Repeating use of integral transforms-a new method for evaluation of some infinite integrals
AU - Apelblat, Alexander
PY - 1981/10/1
Y1 - 1981/10/1
N2 - A new method for evaluation of infinite integrals is proposed. The integrals are derived by applying the same or different integral transforms twice. The integral transforms of Laplace, Fourier, Mellin, Hankel, K, Y-Bessel, H-Struve, Stieltjes, generalized Stieltjes, Kantrovich and Lebedev were used. Using the proposed method, a number of new infinite integrals of elementary and special functions were derived.
AB - A new method for evaluation of infinite integrals is proposed. The integrals are derived by applying the same or different integral transforms twice. The integral transforms of Laplace, Fourier, Mellin, Hankel, K, Y-Bessel, H-Struve, Stieltjes, generalized Stieltjes, Kantrovich and Lebedev were used. Using the proposed method, a number of new infinite integrals of elementary and special functions were derived.
UR - http://www.scopus.com/inward/record.url?scp=33748732176&partnerID=8YFLogxK
U2 - 10.1093/imamat/27.4.481
DO - 10.1093/imamat/27.4.481
M3 - Article
AN - SCOPUS:33748732176
SN - 0272-4960
VL - 27
SP - 481
EP - 496
JO - IMA Journal of Applied Mathematics
JF - IMA Journal of Applied Mathematics
IS - 4
ER -