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
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[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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