Some Integrals Involving E-Functions
Glasgow mathematical journal, Tome 4 (1960) no. 4, pp. 178-185

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we evaluate some integrals involving U-functions by the methods of the Operational Calculus. The results obtained are quite general and many of them include, as particular cases, some known results.A function ψ (p) is operationally related with another function f(t), if they satisfy the integral equation2. Theorem. IfandAs usual, we shall denote (1) by the symbolic expressionprovided that the integral is convergent. HereR(α) > 0, R(p) > 0, n = 2,3,4, ..., andmeans that in the expression following it, i is to bee replaced by – i and the two expressions are to be added.
Saxena, R. K. Some Integrals Involving E-Functions. Glasgow mathematical journal, Tome 4 (1960) no. 4, pp. 178-185. doi: 10.1017/S2040618500034122
@article{10_1017_S2040618500034122,
     author = {Saxena, R. K.},
     title = {Some {Integrals} {Involving} {E-Functions}},
     journal = {Glasgow mathematical journal},
     pages = {178--185},
     year = {1960},
     volume = {4},
     number = {4},
     doi = {10.1017/S2040618500034122},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034122/}
}
TY  - JOUR
AU  - Saxena, R. K.
TI  - Some Integrals Involving E-Functions
JO  - Glasgow mathematical journal
PY  - 1960
SP  - 178
EP  - 185
VL  - 4
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034122/
DO  - 10.1017/S2040618500034122
ID  - 10_1017_S2040618500034122
ER  - 
%0 Journal Article
%A Saxena, R. K.
%T Some Integrals Involving E-Functions
%J Glasgow mathematical journal
%D 1960
%P 178-185
%V 4
%N 4
%U http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034122/
%R 10.1017/S2040618500034122
%F 10_1017_S2040618500034122

[1] 1.Erdélyi, A., Tables of integral transforms, Vol. I (New York, 1954). Google Scholar

[2] 2.Goldstein, S., Operational representation of Whittaker's confluent hypergeometric function and Weber's parabolic cylinder functions, Proc. London Math. Soc., (2) 34 (1932), 103–125. Google Scholar | DOI

[3] 3.Shanker, Hari, Some definite integrals involving confluent hypergeometric functions, J. London Math. Soc., 23 (1948), 44–49. Google Scholar | DOI

[4] 4.MacRobert, T. M., Functions of a complex variable (London, 1954). Google Scholar

[5] 5.MacRobert, T. M., Integrals allied to Airy's integrals, Proc. Glasgow Math. Assoc., 3 (1957), 91–93. Google Scholar

[6] 6.Ragab, F. M., Integrals involving E-functions and Bessel functions, Koninkl. Nederl. Akademie van Wetenschappen, Amsterdam, 57 (1954), 414–423. Google Scholar

[7] 7.Ragab, F. M., The inverse Laplace transform of an exponential function, Communications on Pure and Applied Mathematics (New York University), 11 (1958), 115–127. Google Scholar

[8] 8.Rathie, C. B., Some infinite integrals involving E-functions, J. Indian Math. Soc., (4), 17 (1953), 167–175. Google Scholar

[9] 9.Rathie, C. B., Some results involving hypergeometric and E-functions, Proc. Glasgow Math. Assoc., 2 (1955), 132–138. Google Scholar | DOI

[10] 10.Rathie, C. B., A few infinite integrals involving E-functions, Proc. Glasgow Math. Assoc., 2 (1956), 170–172. Google Scholar | DOI

[11] 11.Sharma, K. C., Infinite integrals involving products of Legendre functions, Proc. Glasgow Math. Assoc., 3 (1957), 111–118. Google Scholar | DOI

[12] 12.Sharma, K. C., Infinite integrals involving E-functions, Proc. Nat. Inst. Sci., India, 25 (1959), 161–165. Google Scholar

Cité par Sources :