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

Cité par Sources :