Integrals Involving a Modified Bessel Function of the Second Kind and an E-Function
Glasgow mathematical journal, Tome 2 (1954) no. 2, pp. 93-96
Voir la notice de l'article provenant de la source Cambridge University Press
The first formula to be proved iswhere p ≧ q + 1, | amp z | < л, R(k±n + αr)>0, r = l, 2, ..., p. For other values of p and q the result is valid if the integral is convergent. A second formula is given in § 3.The following formulae are required in the proof:where R(z);>0, (1);where R(α)>0, | amp z | < л, (2);where the contour starts from -∞ on the ξ-axis, passes round the origin in the positive direction, and ends at -∞ on the ξ-axis, the initial value of amp ζ being - л, (3).
Macrobert, T. M. Integrals Involving a Modified Bessel Function of the Second Kind and an E-Function. Glasgow mathematical journal, Tome 2 (1954) no. 2, pp. 93-96. doi: 10.1017/S2040618500033098
@article{10_1017_S2040618500033098,
author = {Macrobert, T. M.},
title = {Integrals {Involving} a {Modified} {Bessel} {Function} of the {Second} {Kind} and an {E-Function}},
journal = {Glasgow mathematical journal},
pages = {93--96},
year = {1954},
volume = {2},
number = {2},
doi = {10.1017/S2040618500033098},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500033098/}
}
TY - JOUR AU - Macrobert, T. M. TI - Integrals Involving a Modified Bessel Function of the Second Kind and an E-Function JO - Glasgow mathematical journal PY - 1954 SP - 93 EP - 96 VL - 2 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S2040618500033098/ DO - 10.1017/S2040618500033098 ID - 10_1017_S2040618500033098 ER -
%0 Journal Article %A Macrobert, T. M. %T Integrals Involving a Modified Bessel Function of the Second Kind and an E-Function %J Glasgow mathematical journal %D 1954 %P 93-96 %V 2 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S2040618500033098/ %R 10.1017/S2040618500033098 %F 10_1017_S2040618500033098
[(1)] (1)MacRobert, T. M., Proc. Glasg. Math. Ass., 1 (1953), p. 187. Google Scholar | DOI
[(2),(3)] (2),(3)MacRobert, T. M., Proc. Glasg. Math. Ass., 1 (1953), p. 191. Google Scholar
[(4)] (4)Ragab, F. M., Proc. Glasg. Math. Ass., 2 (1954), p. 85. Google Scholar | DOI
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