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
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[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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