Certain expansions involving E-functions
Glasgow mathematical journal, Tome 2 (1957) no. 3, pp. 119-122
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The E-functions were defined by MacRobert [3] in 1937; they are denoted by E (p; αr: q; ps. z).In § 3 of this paper, I prove a new expansion for E(p; αr: q; ps: z) which is similar to an expansion due to MacRobert [2], viz.,where
Singh, V. N. Certain expansions involving E-functions. Glasgow mathematical journal, Tome 2 (1957) no. 3, pp. 119-122. doi: 10.1017/S2040618500033566
@article{10_1017_S2040618500033566,
author = {Singh, V. N.},
title = {Certain expansions involving {E-functions}},
journal = {Glasgow mathematical journal},
pages = {119--122},
year = {1957},
volume = {2},
number = {3},
doi = {10.1017/S2040618500033566},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500033566/}
}
[1] 1.Erdélyi, A., Higher transcendental functions (Bateman Manuscript Project), Vol. I (New York, 1953). Google Scholar
[2] 2.MacRobert, T. M., On an identity involving E-functions, Phil. Mag. (7), 39 (1948), 466–471. Google Scholar | DOI
[3] 3.MacRobert, T. M., Induction proofs of the relations between certain asymptotic expansions and the corresponding generalized hypergeometric functions, Proc. Roy. Soc. Edinburgh, 58 (1937), 1–13. Google Scholar
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