Geodesic
Series involving products of two E-functions
Glasgow mathematical journal, Tome 6 (1964) no. 4, pp. 172-176

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

In 1958 Ragab [3] deduced the sums of certain infinite series involving a product of two E-functions in terms of E-functions. MacRobert [2] gave a very simple alternative method for proving the results of Ragab. Later, Ragab [4, 5] in 1962 used a method similar to the one given by MacRobert to deduce a number of summations involving products of E-functions. In this paper, some more general summations of E-functions, which contain Ragab's results as special cases, are given. It may be mentioned that all the series summed run from n = – ∞ to + ∞co instead of n = 0 to + ∞. 
Verma, Arun. Series involving products of two E-functions. Glasgow mathematical journal, Tome 6 (1964) no. 4, pp. 172-176. doi: 10.1017/S2040618500034973
@article{10_1017_S2040618500034973,
     author = {Verma, Arun},
     title = {Series involving products of two {E-functions}},
     journal = {Glasgow mathematical journal},
     pages = {172--176},
     year = {1964},
     volume = {6},
     number = {4},
     doi = {10.1017/S2040618500034973},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034973/}
}
TY  - JOUR
AU  - Verma, Arun
TI  - Series involving products of two E-functions
JO  - Glasgow mathematical journal
PY  - 1964
SP  - 172
EP  - 176
VL  - 6
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034973/
DO  - 10.1017/S2040618500034973
ID  - 10_1017_S2040618500034973
ER  - 
%0 Journal Article
%A Verma, Arun
%T Series involving products of two E-functions
%J Glasgow mathematical journal
%D 1964
%P 172-176
%V 6
%N 4
%U http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034973/
%R 10.1017/S2040618500034973
%F 10_1017_S2040618500034973

[1] 1.Bailey, W. N., Series of hypergeometric type which are infinite in both directions, Quart. J. Math. (Oxford) 7 (1936), 105–115. Google Scholar

[2] 2.MacRobert, T. M., Integration of E-functions with respect to their parameters, Proc. Glasgow Math. Assoc. 4 (1959), 84–87. Google Scholar | DOI

[3] 3.Ragab, F. M., Expansions of an E-function in a series of products of E-functions, Proc. Glasgow Math. Assoc. 3 (1958), 194–195. Google Scholar | DOI

[4] 4.Ragab, F. M., Summation of a series of products of E-functions, Proc. Glasgow Math. Assoc. 5 (1962), 118–120. Google Scholar | DOI

[5] 5.Ragab, F. M., Reihen von Produkten MacRobertsche E-functionen, Math. Z. 78 (1962), 222–230. Google Scholar | DOI

Cité par Sources :