A Basic Analogue of MacRobert's E-Function
Glasgow mathematical journal, Tome 5 (1961) no. 1, pp. 4-7
Voir la notice de l'article provenant de la source Cambridge University Press
MacRobert [2] in 1937 defined the E-function aswhere the symbol denotes that to the expression following it, a similar expression with α and β interchanged is to be added. For (1) he also gave the integral representationwhere Re β > 0, | arg z | < π.
Agarwal, R. P. A Basic Analogue of MacRobert's E-Function. Glasgow mathematical journal, Tome 5 (1961) no. 1, pp. 4-7. doi: 10.1017/S2040618500034225
@article{10_1017_S2040618500034225,
author = {Agarwal, R. P.},
title = {A {Basic} {Analogue} of {MacRobert's} {E-Function}},
journal = {Glasgow mathematical journal},
pages = {4--7},
year = {1961},
volume = {5},
number = {1},
doi = {10.1017/S2040618500034225},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034225/}
}
[1] 1.Hahn, W., Über die höheren Heineschen Reihenund eine einheitliche Theorie der sogenannten speziellen Funktionen, Math. Nachr., 3 (1950), 257–294. Google Scholar | DOI
[2] 2.MacRobert, T. M., Induction proofs of the relations between certain asymptotic expansions and corresponding generalised hypergeometric series, Proc. Roy. Soc. Edinburgh 58 (1937), 1–13. Google Scholar
[3] 3.Watson, G. N., The continuations of functions defined by generalised hypergeometric series, Trans. Cambridge Phil. Soc. 21 (1909), 281–299. Google Scholar
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