The inverse Laplace transform of the product ${\rm 
exp}[-\frac{1}{2}a^{1/n}p^{1/n}]K_{n\nu} [\frac{1}{2}a^{1/n}p^{1/n}]$,  $n=2,\,3,\,4,\ldots $.

Ragab, F. M.

The inverse Laplace transform of the product

\exp [- \frac{1}{2} a^{1 / n} p^{1 / n}] K_{n ν} [\frac{1}{2} a^{1 / n} p^{1 / n}]

n = 2, 3, 4, \dots

Ragab, F. M.

Bollettino dell'Unione Matematica Italiana, Tome 19 (1964), p. 26-30 / Harvested from Biblioteca Digitale Italiana di Matematica

Access to full text
Full (PDF)
Full (DjVu)

Publié le : 1964-03-01

MR 162982 | Zbl 0166.39004

@article{BUMI_1964_3_19_1_26_0,
     author = {F. M. Ragab},
     title = {The inverse Laplace transform of the product ${\rm 
exp}[-\frac{1}{2}a^{1/n}p^{1/n}]K\_{n\nu} [\frac{1}{2}a^{1/n}p^{1/n}]$,  $n=2,\,3,\,4,\ldots $.},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {19},
     year = {1964},
     pages = {26-30},
     zbl = {0166.39004},
     mrnumber = {162982},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_1964_3_19_1_26_0}
}

Ragab, F. M. The inverse Laplace transform of the product ${\rm 
exp}[-\frac{1}{2}a^{1/n}p^{1/n}]K_{n\nu} [\frac{1}{2}a^{1/n}p^{1/n}]$,  $n=2,\,3,\,4,\ldots $.. Bollettino dell'Unione Matematica Italiana, Tome 19 (1964) pp. 26-30. http://gdmltest.u-ga.fr/item/BUMI_1964_3_19_1_26_0/

Bibliographie

[1] Erdely, A., Magnus, W., Oberhettinger, F., and Tricomi, F., Tables of integral transformOxford, Vol. I, MacGraw Hill, New York1954. | Zbl 0055.36401

[2] Macrobert, T. M., Functions of a Complex Variable, 4th edit. London1954. | JFM 46.0543.07 | Zbl 0056.29102

[3] Macrobert, T. M., Multiplication formulae for the E-Functions regarded as functions of their parameters, «Pacific Journal of Math.», Vol. 9, pp. 759-761, 1959. | MR 109901 | Zbl 0089.04502

[4] Ragab, F. M., The inverse Laplace transform of the modifled Bessel function Kmn(a1/2m p1/2m), «Journal Lond. Math. Soc.» 37 «, pp. 391-402,1962. | MR 143956 | Zbl 0108.29501