The inverse Laplace transform of the product exp ⁢ - 1 2 ⁢ a 1 / n ⁢ p 1 / n ⁢ K n ⁢ ν ⁢ 1 2 ⁢ a 1 / n ⁢ p 1 / n , n = 2 ,  3 ,  4 , … .

F. M. Ragab

Bollettino dell'Unione Matematica Italiana (1964)

  • Volume: 19, Issue: 1, page 26-30
  • ISSN: 0392-4041

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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 19.1 (1964): 26-30. <http://eudml.org/doc/195632>.

@article{Ragab1964,
author = {Ragab, F. M.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {integral equations, integral transforms},
language = {eng},
month = {3},
number = {1},
pages = {26-30},
publisher = {Zanichelli},
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 $.},
url = {http://eudml.org/doc/195632},
volume = {19},
year = {1964},
}

TY - JOUR
AU - Ragab, F. M.
TI - 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 $.
JO - Bollettino dell'Unione Matematica Italiana
DA - 1964/3//
PB - Zanichelli
VL - 19
IS - 1
SP - 26
EP - 30
LA - eng
KW - integral equations, integral transforms
UR - http://eudml.org/doc/195632
ER -

References

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  1. ERDELY, A., MAGNUS, W., OBERHETTINGER, F., and TRICOMI, F., Tables of integral transformOxford, Vol. I, MacGraw Hill, New York1954.  Zbl0055.36401
  2. MACROBERT, T. M., Functions of a Complex Variable, 4th edit. London1954.  Zbl0056.29102JFM46.0543.07
  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.  Zbl0089.04502MR109901
  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. Zbl0108.29501MR143956

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