On Recurrence Formulae
Glasgow mathematical journal, Tome 2 (1956) no. 1, pp. 36-37
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The recurrence formulae for the Bessel, Legendre, hypergeometric and other such functions can all be related to each other by means of the E-functions. In this paper it will be shown how, starting from known recurrence formulae for the hypergeometric function, others can be derived. The E-function formulae are deduced in § 2, and the others in § 3.
Macrobert, T. M. On Recurrence Formulae. Glasgow mathematical journal, Tome 2 (1956) no. 1, pp. 36-37. doi: 10.1017/S2040618500033402
@article{10_1017_S2040618500033402,
author = {Macrobert, T. M.},
title = {On {Recurrence} {Formulae}},
journal = {Glasgow mathematical journal},
pages = {36--37},
year = {1956},
volume = {2},
number = {1},
doi = {10.1017/S2040618500033402},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500033402/}
}
[1] 1.Gauss, C. F., Werke III (1876), 130, 133. Google Scholar
[2] 2.MacRobert, T. M., Proofs of some formulae for the hypergeometric function, Phil. Mag. (7) 16 (1933), 440, 441, 442. Google Scholar | DOI
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